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Finding the Fourth Proportional to 522.32, 720.06 and 417.76

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Solution

The fourth proportional to 522.32, 720.06 and 417.76 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 720.06 = 417.76 : x
  2. Step 2: Convert to fraction form
    522.32/720.06 = 417.76/x
  3. Step 3: Cross multiply
    522.32x = 720.06 × 417.76
  4. Step 4: Simplify right side
    522.32x = 300,812.27
  5. Step 5: Solve for x
    x = 300,812.27/522.32
  6. Step 6: Final answer
    x = 575.92

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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.