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Finding the Fourth Proportional to 356.96, 532.90 and 292.88

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Solution

The fourth proportional to 356.96, 532.90 and 292.88 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 532.90 = 292.88 : x
  2. Step 2: Convert to fraction form
    356.96/532.90 = 292.88/x
  3. Step 3: Cross multiply
    356.96x = 532.90 × 292.88
  4. Step 4: Simplify right side
    356.96x = 156,075.75
  5. Step 5: Solve for x
    x = 156,075.75/356.96
  6. Step 6: Final answer
    x = 437.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.