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Finding the Fourth Proportional to 610.20, 910.26 and 527.40

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Solution

The fourth proportional to 610.20, 910.26 and 527.40 is: 786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 910.26 = 527.40 : x
  2. Step 2: Convert to fraction form
    610.20/910.26 = 527.40/x
  3. Step 3: Cross multiply
    610.20x = 910.26 × 527.40
  4. Step 4: Simplify right side
    610.20x = 480,071.12
  5. Step 5: Solve for x
    x = 480,071.12/610.20
  6. Step 6: Final answer
    x = 786.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.