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Finding the Fourth Proportional to 315.24, 472.20 and 296.10

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Solution

The fourth proportional to 315.24, 472.20 and 296.10 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.24 : 472.20 = 296.10 : x
  2. Step 2: Convert to fraction form
    315.24/472.20 = 296.10/x
  3. Step 3: Cross multiply
    315.24x = 472.20 × 296.10
  4. Step 4: Simplify right side
    315.24x = 139,818.42
  5. Step 5: Solve for x
    x = 139,818.42/315.24
  6. Step 6: Final answer
    x = 443.53

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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.