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Finding the Fourth Proportional to 284.32, 392.52 and 264.88

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Solution

The fourth proportional to 284.32, 392.52 and 264.88 is: 365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 392.52 = 264.88 : x
  2. Step 2: Convert to fraction form
    284.32/392.52 = 264.88/x
  3. Step 3: Cross multiply
    284.32x = 392.52 × 264.88
  4. Step 4: Simplify right side
    284.32x = 103,970.70
  5. Step 5: Solve for x
    x = 103,970.70/284.32
  6. Step 6: Final answer
    x = 365.68

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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.