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Finding the Fourth Proportional to 332.30, 498.00 and 292.21

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Solution

The fourth proportional to 332.30, 498.00 and 292.21 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.30 : 498.00 = 292.21 : x
  2. Step 2: Convert to fraction form
    332.30/498.00 = 292.21/x
  3. Step 3: Cross multiply
    332.30x = 498.00 × 292.21
  4. Step 4: Simplify right side
    332.30x = 145,518.79
  5. Step 5: Solve for x
    x = 145,518.79/332.30
  6. Step 6: Final answer
    x = 437.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.