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Finding the Fourth Proportional to 526.26, 727.26 and 432.87

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Solution

The fourth proportional to 526.26, 727.26 and 432.87 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 727.26 = 432.87 : x
  2. Step 2: Convert to fraction form
    526.26/727.26 = 432.87/x
  3. Step 3: Cross multiply
    526.26x = 727.26 × 432.87
  4. Step 4: Simplify right side
    526.26x = 314,809.04
  5. Step 5: Solve for x
    x = 314,809.04/526.26
  6. Step 6: Final answer
    x = 598.20

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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.