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Finding the Fourth Proportional to 431.48, 595.53 and 284.13

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Solution

The fourth proportional to 431.48, 595.53 and 284.13 is: 392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 595.53 = 284.13 : x
  2. Step 2: Convert to fraction form
    431.48/595.53 = 284.13/x
  3. Step 3: Cross multiply
    431.48x = 595.53 × 284.13
  4. Step 4: Simplify right side
    431.48x = 169,207.94
  5. Step 5: Solve for x
    x = 169,207.94/431.48
  6. Step 6: Final answer
    x = 392.16

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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.