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Finding the Fourth Proportional to 534.70, 737.53 and 348.13

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Solution

The fourth proportional to 534.70, 737.53 and 348.13 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 737.53 = 348.13 : x
  2. Step 2: Convert to fraction form
    534.70/737.53 = 348.13/x
  3. Step 3: Cross multiply
    534.70x = 737.53 × 348.13
  4. Step 4: Simplify right side
    534.70x = 256,756.32
  5. Step 5: Solve for x
    x = 256,756.32/534.70
  6. Step 6: Final answer
    x = 480.19

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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.