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Finding the Fourth Proportional to 458.40, 687 and 430.72

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Solution

The fourth proportional to 458.40, 687 and 430.72 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 687 = 430.72 : x
  2. Step 2: Convert to fraction form
    458.40/687 = 430.72/x
  3. Step 3: Cross multiply
    458.40x = 687 × 430.72
  4. Step 4: Simplify right side
    458.40x = 295,904.64
  5. Step 5: Solve for x
    x = 295,904.64/458.40
  6. Step 6: Final answer
    x = 645.52

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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.