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Finding the Fourth Proportional to 615.22, 920.76 and 564.64

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Solution

The fourth proportional to 615.22, 920.76 and 564.64 is: 845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.22 : 920.76 = 564.64 : x
  2. Step 2: Convert to fraction form
    615.22/920.76 = 564.64/x
  3. Step 3: Cross multiply
    615.22x = 920.76 × 564.64
  4. Step 4: Simplify right side
    615.22x = 519,897.93
  5. Step 5: Solve for x
    x = 519,897.93/615.22
  6. Step 6: Final answer
    x = 845.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.