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Finding the Fourth Proportional to 543.40, 749.14 and 460.32

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Solution

The fourth proportional to 543.40, 749.14 and 460.32 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 749.14 = 460.32 : x
  2. Step 2: Convert to fraction form
    543.40/749.14 = 460.32/x
  3. Step 3: Cross multiply
    543.40x = 749.14 × 460.32
  4. Step 4: Simplify right side
    543.40x = 344,844.12
  5. Step 5: Solve for x
    x = 344,844.12/543.40
  6. Step 6: Final answer
    x = 634.60

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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.