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Finding the Fourth Proportional to 307.53, 458.46 and 292.14

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Solution

The fourth proportional to 307.53, 458.46 and 292.14 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 458.46 = 292.14 : x
  2. Step 2: Convert to fraction form
    307.53/458.46 = 292.14/x
  3. Step 3: Cross multiply
    307.53x = 458.46 × 292.14
  4. Step 4: Simplify right side
    307.53x = 133,934.50
  5. Step 5: Solve for x
    x = 133,934.50/307.53
  6. Step 6: Final answer
    x = 435.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.