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Finding the Fourth Proportional to 315.12, 433.68 and 287.52

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Solution

The fourth proportional to 315.12, 433.68 and 287.52 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 433.68 = 287.52 : x
  2. Step 2: Convert to fraction form
    315.12/433.68 = 287.52/x
  3. Step 3: Cross multiply
    315.12x = 433.68 × 287.52
  4. Step 4: Simplify right side
    315.12x = 124,691.67
  5. Step 5: Solve for x
    x = 124,691.67/315.12
  6. Step 6: Final answer
    x = 395.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.