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Finding the Fourth Proportional to 715.49, 1,073.64 and 304.58

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Solution

The fourth proportional to 715.49, 1,073.64 and 304.58 is: 457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.49 : 1,073.64 = 304.58 : x
  2. Step 2: Convert to fraction form
    715.49/1,073.64 = 304.58/x
  3. Step 3: Cross multiply
    715.49x = 1,073.64 × 304.58
  4. Step 4: Simplify right side
    715.49x = 327,011.38
  5. Step 5: Solve for x
    x = 327,011.38/715.49
  6. Step 6: Final answer
    x = 457.05

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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.