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Finding the Fourth Proportional to 526.56, 727.56 and 433.14

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Solution

The fourth proportional to 526.56, 727.56 and 433.14 is: 598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 727.56 = 433.14 : x
  2. Step 2: Convert to fraction form
    526.56/727.56 = 433.14/x
  3. Step 3: Cross multiply
    526.56x = 727.56 × 433.14
  4. Step 4: Simplify right side
    526.56x = 315,135.34
  5. Step 5: Solve for x
    x = 315,135.34/526.56
  6. Step 6: Final answer
    x = 598.48

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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.