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Finding the Fourth Proportional to 680.10, 937.45 and 458.67

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Solution

The fourth proportional to 680.10, 937.45 and 458.67 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 937.45 = 458.67 : x
  2. Step 2: Convert to fraction form
    680.10/937.45 = 458.67/x
  3. Step 3: Cross multiply
    680.10x = 937.45 × 458.67
  4. Step 4: Simplify right side
    680.10x = 429,980.19
  5. Step 5: Solve for x
    x = 429,980.19/680.10
  6. Step 6: Final answer
    x = 632.23

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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.