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Finding the Fourth Proportional to 657.95, 907.42 and 492.55

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Solution

The fourth proportional to 657.95, 907.42 and 492.55 is: 679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 907.42 = 492.55 : x
  2. Step 2: Convert to fraction form
    657.95/907.42 = 492.55/x
  3. Step 3: Cross multiply
    657.95x = 907.42 × 492.55
  4. Step 4: Simplify right side
    657.95x = 446,947.26
  5. Step 5: Solve for x
    x = 446,947.26/657.95
  6. Step 6: Final answer
    x = 679.31

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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.