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Finding the Fourth Proportional to 332.90, 497.41 and 292.81

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Solution

The fourth proportional to 332.90, 497.41 and 292.81 is: 437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 497.41 = 292.81 : x
  2. Step 2: Convert to fraction form
    332.90/497.41 = 292.81/x
  3. Step 3: Cross multiply
    332.90x = 497.41 × 292.81
  4. Step 4: Simplify right side
    332.90x = 145,644.65
  5. Step 5: Solve for x
    x = 145,644.65/332.90
  6. Step 6: Final answer
    x = 437.50

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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.