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Finding the Fourth Proportional to 585.69, 807.14 and 419.62

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Solution

The fourth proportional to 585.69, 807.14 and 419.62 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 807.14 = 419.62 : x
  2. Step 2: Convert to fraction form
    585.69/807.14 = 419.62/x
  3. Step 3: Cross multiply
    585.69x = 807.14 × 419.62
  4. Step 4: Simplify right side
    585.69x = 338,691.12
  5. Step 5: Solve for x
    x = 338,691.12/585.69
  6. Step 6: Final answer
    x = 578.28

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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.