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Finding the Fourth Proportional to 715.53, 1,073.76 and 304.67

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Solution

The fourth proportional to 715.53, 1,073.76 and 304.67 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.53 : 1,073.76 = 304.67 : x
  2. Step 2: Convert to fraction form
    715.53/1,073.76 = 304.67/x
  3. Step 3: Cross multiply
    715.53x = 1,073.76 × 304.67
  4. Step 4: Simplify right side
    715.53x = 327,140.94
  5. Step 5: Solve for x
    x = 327,140.94/715.53
  6. Step 6: Final answer
    x = 457.20

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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.