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Finding the Fourth Proportional to 584.62, 807.51 and 410.74

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Solution

The fourth proportional to 584.62, 807.51 and 410.74 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.62 : 807.51 = 410.74 : x
  2. Step 2: Convert to fraction form
    584.62/807.51 = 410.74/x
  3. Step 3: Cross multiply
    584.62x = 807.51 × 410.74
  4. Step 4: Simplify right side
    584.62x = 331,676.66
  5. Step 5: Solve for x
    x = 331,676.66/584.62
  6. Step 6: Final answer
    x = 567.34

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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.