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Finding the Fourth Proportional to 560.04, 770.63 and 543.15

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Solution

The fourth proportional to 560.04, 770.63 and 543.15 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 770.63 = 543.15 : x
  2. Step 2: Convert to fraction form
    560.04/770.63 = 543.15/x
  3. Step 3: Cross multiply
    560.04x = 770.63 × 543.15
  4. Step 4: Simplify right side
    560.04x = 418,564.97
  5. Step 5: Solve for x
    x = 418,564.97/560.04
  6. Step 6: Final answer
    x = 747.38

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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.