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Finding the Fourth Proportional to 534.03, 800.56 and 260.07

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Solution

The fourth proportional to 534.03, 800.56 and 260.07 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 800.56 = 260.07 : x
  2. Step 2: Convert to fraction form
    534.03/800.56 = 260.07/x
  3. Step 3: Cross multiply
    534.03x = 800.56 × 260.07
  4. Step 4: Simplify right side
    534.03x = 208,201.64
  5. Step 5: Solve for x
    x = 208,201.64/534.03
  6. Step 6: Final answer
    x = 389.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.