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Finding the Fourth Proportional to 526.16, 727.08 and 506

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Solution

The fourth proportional to 526.16, 727.08 and 506 is: 699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 727.08 = 506 : x
  2. Step 2: Convert to fraction form
    526.16/727.08 = 506/x
  3. Step 3: Cross multiply
    526.16x = 727.08 × 506
  4. Step 4: Simplify right side
    526.16x = 367,902.48
  5. Step 5: Solve for x
    x = 367,902.48/526.16
  6. Step 6: Final answer
    x = 699.22

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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.