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Finding the Fourth Proportional to 714.53, 985.40 and 465.77

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Solution

The fourth proportional to 714.53, 985.40 and 465.77 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.53 : 985.40 = 465.77 : x
  2. Step 2: Convert to fraction form
    714.53/985.40 = 465.77/x
  3. Step 3: Cross multiply
    714.53x = 985.40 × 465.77
  4. Step 4: Simplify right side
    714.53x = 458,962.50
  5. Step 5: Solve for x
    x = 458,962.50/714.53
  6. Step 6: Final answer
    x = 642.33

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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.