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Finding the Fourth Proportional to 585.14, 807.09 and 429.62

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Solution

The fourth proportional to 585.14, 807.09 and 429.62 is: 592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.14 : 807.09 = 429.62 : x
  2. Step 2: Convert to fraction form
    585.14/807.09 = 429.62/x
  3. Step 3: Cross multiply
    585.14x = 807.09 × 429.62
  4. Step 4: Simplify right side
    585.14x = 346,742.01
  5. Step 5: Solve for x
    x = 346,742.01/585.14
  6. Step 6: Final answer
    x = 592.58

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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.