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Finding the Fourth Proportional to 640.04, 880.32 and 527.22

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Solution

The fourth proportional to 640.04, 880.32 and 527.22 is: 725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.04 : 880.32 = 527.22 : x
  2. Step 2: Convert to fraction form
    640.04/880.32 = 527.22/x
  3. Step 3: Cross multiply
    640.04x = 880.32 × 527.22
  4. Step 4: Simplify right side
    640.04x = 464,115.27
  5. Step 5: Solve for x
    x = 464,115.27/640.04
  6. Step 6: Final answer
    x = 725.13

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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.