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Finding the Fourth Proportional to 466.60, 695.93 and 458.39

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Solution

The fourth proportional to 466.60, 695.93 and 458.39 is: 683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.60 : 695.93 = 458.39 : x
  2. Step 2: Convert to fraction form
    466.60/695.93 = 458.39/x
  3. Step 3: Cross multiply
    466.60x = 695.93 × 458.39
  4. Step 4: Simplify right side
    466.60x = 319,010.54
  5. Step 5: Solve for x
    x = 319,010.54/466.60
  6. Step 6: Final answer
    x = 683.70

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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.