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Finding the Fourth Proportional to 657.96, 907.29 and 491.91

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Solution

The fourth proportional to 657.96, 907.29 and 491.91 is: 678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 907.29 = 491.91 : x
  2. Step 2: Convert to fraction form
    657.96/907.29 = 491.91/x
  3. Step 3: Cross multiply
    657.96x = 907.29 × 491.91
  4. Step 4: Simplify right side
    657.96x = 446,305.02
  5. Step 5: Solve for x
    x = 446,305.02/657.96
  6. Step 6: Final answer
    x = 678.32

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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.