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Finding the Fourth Proportional to 456.72, 628.98 and 373.56

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Solution

The fourth proportional to 456.72, 628.98 and 373.56 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 628.98 = 373.56 : x
  2. Step 2: Convert to fraction form
    456.72/628.98 = 373.56/x
  3. Step 3: Cross multiply
    456.72x = 628.98 × 373.56
  4. Step 4: Simplify right side
    456.72x = 234,961.77
  5. Step 5: Solve for x
    x = 234,961.77/456.72
  6. Step 6: Final answer
    x = 514.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.