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Finding the Fourth Proportional to 714.12, 985.32 and 465.48

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Solution

The fourth proportional to 714.12, 985.32 and 465.48 is: 642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.12 : 985.32 = 465.48 : x
  2. Step 2: Convert to fraction form
    714.12/985.32 = 465.48/x
  3. Step 3: Cross multiply
    714.12x = 985.32 × 465.48
  4. Step 4: Simplify right side
    714.12x = 458,646.75
  5. Step 5: Solve for x
    x = 458,646.75/714.12
  6. Step 6: Final answer
    x = 642.25

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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.