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Finding the Fourth Proportional to 715.64, 1,073.50 and 304.52

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Solution

The fourth proportional to 715.64, 1,073.50 and 304.52 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,073.50 = 304.52 : x
  2. Step 2: Convert to fraction form
    715.64/1,073.50 = 304.52/x
  3. Step 3: Cross multiply
    715.64x = 1,073.50 × 304.52
  4. Step 4: Simplify right side
    715.64x = 326,902.22
  5. Step 5: Solve for x
    x = 326,902.22/715.64
  6. Step 6: Final answer
    x = 456.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.