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Finding the Fourth Proportional to 657.36, 907.14 and 362.64

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Solution

The fourth proportional to 657.36, 907.14 and 362.64 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.36 : 907.14 = 362.64 : x
  2. Step 2: Convert to fraction form
    657.36/907.14 = 362.64/x
  3. Step 3: Cross multiply
    657.36x = 907.14 × 362.64
  4. Step 4: Simplify right side
    657.36x = 328,965.25
  5. Step 5: Solve for x
    x = 328,965.25/657.36
  6. Step 6: Final answer
    x = 500.43

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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.