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Finding the Fourth Proportional to 657.47, 907.37 and 491.39

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Solution

The fourth proportional to 657.47, 907.37 and 491.39 is: 678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.47 : 907.37 = 491.39 : x
  2. Step 2: Convert to fraction form
    657.47/907.37 = 491.39/x
  3. Step 3: Cross multiply
    657.47x = 907.37 × 491.39
  4. Step 4: Simplify right side
    657.47x = 445,865.55
  5. Step 5: Solve for x
    x = 445,865.55/657.47
  6. Step 6: Final answer
    x = 678.16

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1.5x scale

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.