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Finding the Fourth Proportional to 456.68, 680.69 and 430.06

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Solution

The fourth proportional to 456.68, 680.69 and 430.06 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 680.69 = 430.06 : x
  2. Step 2: Convert to fraction form
    456.68/680.69 = 430.06/x
  3. Step 3: Cross multiply
    456.68x = 680.69 × 430.06
  4. Step 4: Simplify right side
    456.68x = 292,734.14
  5. Step 5: Solve for x
    x = 292,734.14/456.68
  6. Step 6: Final answer
    x = 641.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.