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Finding the Fourth Proportional to 657.06, 985.14 and 291.66

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Solution

The fourth proportional to 657.06, 985.14 and 291.66 is: 437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 985.14 = 291.66 : x
  2. Step 2: Convert to fraction form
    657.06/985.14 = 291.66/x
  3. Step 3: Cross multiply
    657.06x = 985.14 × 291.66
  4. Step 4: Simplify right side
    657.06x = 287,325.93
  5. Step 5: Solve for x
    x = 287,325.93/657.06
  6. Step 6: Final answer
    x = 437.29

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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.