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Finding the Fourth Proportional to 452.32, 678.86 and 315.66

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Solution

The fourth proportional to 452.32, 678.86 and 315.66 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 678.86 = 315.66 : x
  2. Step 2: Convert to fraction form
    452.32/678.86 = 315.66/x
  3. Step 3: Cross multiply
    452.32x = 678.86 × 315.66
  4. Step 4: Simplify right side
    452.32x = 214,288.95
  5. Step 5: Solve for x
    x = 214,288.95/452.32
  6. Step 6: Final answer
    x = 473.76

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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.