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Finding the Fourth Proportional to 743.46, 1,115.15 and 256.52

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Solution

The fourth proportional to 743.46, 1,115.15 and 256.52 is: 384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.46 : 1,115.15 = 256.52 : x
  2. Step 2: Convert to fraction form
    743.46/1,115.15 = 256.52/x
  3. Step 3: Cross multiply
    743.46x = 1,115.15 × 256.52
  4. Step 4: Simplify right side
    743.46x = 286,051.42
  5. Step 5: Solve for x
    x = 286,051.42/743.46
  6. Step 6: Final answer
    x = 384.76

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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.