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Finding the Fourth Proportional to 332.65, 497.04 and 292.56

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Solution

The fourth proportional to 332.65, 497.04 and 292.56 is: 437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 497.04 = 292.56 : x
  2. Step 2: Convert to fraction form
    332.65/497.04 = 292.56/x
  3. Step 3: Cross multiply
    332.65x = 497.04 × 292.56
  4. Step 4: Simplify right side
    332.65x = 145,410.07
  5. Step 5: Solve for x
    x = 145,410.07/332.65
  6. Step 6: Final answer
    x = 437.13

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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.