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Finding the Fourth Proportional to 615.82, 924.14 and 291.22

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Solution

The fourth proportional to 615.82, 924.14 and 291.22 is: 437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.82 : 924.14 = 291.22 : x
  2. Step 2: Convert to fraction form
    615.82/924.14 = 291.22/x
  3. Step 3: Cross multiply
    615.82x = 924.14 × 291.22
  4. Step 4: Simplify right side
    615.82x = 269,128.05
  5. Step 5: Solve for x
    x = 269,128.05/615.82
  6. Step 6: Final answer
    x = 437.02

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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.