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Finding the Fourth Proportional to 543.39, 749.61 and 468.57

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Solution

The fourth proportional to 543.39, 749.61 and 468.57 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.39 : 749.61 = 468.57 : x
  2. Step 2: Convert to fraction form
    543.39/749.61 = 468.57/x
  3. Step 3: Cross multiply
    543.39x = 749.61 × 468.57
  4. Step 4: Simplify right side
    543.39x = 351,244.76
  5. Step 5: Solve for x
    x = 351,244.76/543.39
  6. Step 6: Final answer
    x = 646.40

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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.