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Finding the Fourth Proportional to 424.70, 585.75 and 284.77

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Solution

The fourth proportional to 424.70, 585.75 and 284.77 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.70 : 585.75 = 284.77 : x
  2. Step 2: Convert to fraction form
    424.70/585.75 = 284.77/x
  3. Step 3: Cross multiply
    424.70x = 585.75 × 284.77
  4. Step 4: Simplify right side
    424.70x = 166,801.10
  5. Step 5: Solve for x
    x = 166,801.10/424.70
  6. Step 6: Final answer
    x = 392.76

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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.