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Finding the Fourth Proportional to 356.80, 491.88 and 253.12

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Solution

The fourth proportional to 356.80, 491.88 and 253.12 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 491.88 = 253.12 : x
  2. Step 2: Convert to fraction form
    356.80/491.88 = 253.12/x
  3. Step 3: Cross multiply
    356.80x = 491.88 × 253.12
  4. Step 4: Simplify right side
    356.80x = 124,504.67
  5. Step 5: Solve for x
    x = 124,504.67/356.80
  6. Step 6: Final answer
    x = 348.95

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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.