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Finding the Fourth Proportional to 526.32, 725.63 and 408.06

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Solution

The fourth proportional to 526.32, 725.63 and 408.06 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.32 : 725.63 = 408.06 : x
  2. Step 2: Convert to fraction form
    526.32/725.63 = 408.06/x
  3. Step 3: Cross multiply
    526.32x = 725.63 × 408.06
  4. Step 4: Simplify right side
    526.32x = 296,098.54
  5. Step 5: Solve for x
    x = 296,098.54/526.32
  6. Step 6: Final answer
    x = 562.58

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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.