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Finding the Fourth Proportional to 584.81, 807.53 and 410.25

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Solution

The fourth proportional to 584.81, 807.53 and 410.25 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 807.53 = 410.25 : x
  2. Step 2: Convert to fraction form
    584.81/807.53 = 410.25/x
  3. Step 3: Cross multiply
    584.81x = 807.53 × 410.25
  4. Step 4: Simplify right side
    584.81x = 331,287.13
  5. Step 5: Solve for x
    x = 331,287.13/584.81
  6. Step 6: Final answer
    x = 566.49

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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.