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Finding the Fourth Proportional to 390.22, 585.53 and 282.89

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Solution

The fourth proportional to 390.22, 585.53 and 282.89 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.22 : 585.53 = 282.89 : x
  2. Step 2: Convert to fraction form
    390.22/585.53 = 282.89/x
  3. Step 3: Cross multiply
    390.22x = 585.53 × 282.89
  4. Step 4: Simplify right side
    390.22x = 165,641.69
  5. Step 5: Solve for x
    x = 165,641.69/390.22
  6. Step 6: Final answer
    x = 424.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.