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Finding the Fourth Proportional to 305.71, 456.10 and 292.19

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Solution

The fourth proportional to 305.71, 456.10 and 292.19 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 456.10 = 292.19 : x
  2. Step 2: Convert to fraction form
    305.71/456.10 = 292.19/x
  3. Step 3: Cross multiply
    305.71x = 456.10 × 292.19
  4. Step 4: Simplify right side
    305.71x = 133,264.85
  5. Step 5: Solve for x
    x = 133,264.85/305.71
  6. Step 6: Final answer
    x = 435.92

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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.