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Finding the Fourth Proportional to 714.30, 984.93 and 465.22

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Solution

The fourth proportional to 714.30, 984.93 and 465.22 is: 641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.30 : 984.93 = 465.22 : x
  2. Step 2: Convert to fraction form
    714.30/984.93 = 465.22/x
  3. Step 3: Cross multiply
    714.30x = 984.93 × 465.22
  4. Step 4: Simplify right side
    714.30x = 458,209.13
  5. Step 5: Solve for x
    x = 458,209.13/714.30
  6. Step 6: Final answer
    x = 641.48

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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.