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Finding the Fourth Proportional to 424.07, 585.67 and 291.64

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Solution

The fourth proportional to 424.07, 585.67 and 291.64 is: 402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.07 : 585.67 = 291.64 : x
  2. Step 2: Convert to fraction form
    424.07/585.67 = 291.64/x
  3. Step 3: Cross multiply
    424.07x = 585.67 × 291.64
  4. Step 4: Simplify right side
    424.07x = 170,801.87
  5. Step 5: Solve for x
    x = 170,801.87/424.07
  6. Step 6: Final answer
    x = 402.77

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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.