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Finding the Fourth Proportional to 526.24, 783.81 and 502.55

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Solution

The fourth proportional to 526.24, 783.81 and 502.55 is: 748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 783.81 = 502.55 : x
  2. Step 2: Convert to fraction form
    526.24/783.81 = 502.55/x
  3. Step 3: Cross multiply
    526.24x = 783.81 × 502.55
  4. Step 4: Simplify right side
    526.24x = 393,899.80
  5. Step 5: Solve for x
    x = 393,899.80/526.24
  6. Step 6: Final answer
    x = 748.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.