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Finding the Fourth Proportional to 310.35, 465.56 and 292.53

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Solution

The fourth proportional to 310.35, 465.56 and 292.53 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 465.56 = 292.53 : x
  2. Step 2: Convert to fraction form
    310.35/465.56 = 292.53/x
  3. Step 3: Cross multiply
    310.35x = 465.56 × 292.53
  4. Step 4: Simplify right side
    310.35x = 136,192.16
  5. Step 5: Solve for x
    x = 136,192.16/310.35
  6. Step 6: Final answer
    x = 438.83

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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.