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Finding the Fourth Proportional to 534.06, 735.19 and 463.14

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Solution

The fourth proportional to 534.06, 735.19 and 463.14 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 735.19 = 463.14 : x
  2. Step 2: Convert to fraction form
    534.06/735.19 = 463.14/x
  3. Step 3: Cross multiply
    534.06x = 735.19 × 463.14
  4. Step 4: Simplify right side
    534.06x = 340,494.74
  5. Step 5: Solve for x
    x = 340,494.74/534.06
  6. Step 6: Final answer
    x = 637.56

Related Problems

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.