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Finding the Fourth Proportional to 620.47, 929.98 and 456.63

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Solution

The fourth proportional to 620.47, 929.98 and 456.63 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.47 : 929.98 = 456.63 : x
  2. Step 2: Convert to fraction form
    620.47/929.98 = 456.63/x
  3. Step 3: Cross multiply
    620.47x = 929.98 × 456.63
  4. Step 4: Simplify right side
    620.47x = 424,656.77
  5. Step 5: Solve for x
    x = 424,656.77/620.47
  6. Step 6: Final answer
    x = 684.42

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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.