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Finding the Fourth Proportional to 522.64, 721.51 and 404.35

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Solution

The fourth proportional to 522.64, 721.51 and 404.35 is: 558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 721.51 = 404.35 : x
  2. Step 2: Convert to fraction form
    522.64/721.51 = 404.35/x
  3. Step 3: Cross multiply
    522.64x = 721.51 × 404.35
  4. Step 4: Simplify right side
    522.64x = 291,741.27
  5. Step 5: Solve for x
    x = 291,741.27/522.64
  6. Step 6: Final answer
    x = 558.21

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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.