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Finding the Fourth Proportional to 714.33, 985.19 and 465.57

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Solution

The fourth proportional to 714.33, 985.19 and 465.57 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.33 : 985.19 = 465.57 : x
  2. Step 2: Convert to fraction form
    714.33/985.19 = 465.57/x
  3. Step 3: Cross multiply
    714.33x = 985.19 × 465.57
  4. Step 4: Simplify right side
    714.33x = 458,672.58
  5. Step 5: Solve for x
    x = 458,672.58/714.33
  6. Step 6: Final answer
    x = 642.10

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1.5x scale

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.