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Finding the Fourth Proportional to 431.76, 595.44 and 284.34

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Solution

The fourth proportional to 431.76, 595.44 and 284.34 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 595.44 = 284.34 : x
  2. Step 2: Convert to fraction form
    431.76/595.44 = 284.34/x
  3. Step 3: Cross multiply
    431.76x = 595.44 × 284.34
  4. Step 4: Simplify right side
    431.76x = 169,307.41
  5. Step 5: Solve for x
    x = 169,307.41/431.76
  6. Step 6: Final answer
    x = 392.13

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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.