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Finding the Fourth Proportional to 657.37, 907.15 and 362.63

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Solution

The fourth proportional to 657.37, 907.15 and 362.63 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.37 : 907.15 = 362.63 : x
  2. Step 2: Convert to fraction form
    657.37/907.15 = 362.63/x
  3. Step 3: Cross multiply
    657.37x = 907.15 × 362.63
  4. Step 4: Simplify right side
    657.37x = 328,956.74
  5. Step 5: Solve for x
    x = 328,956.74/657.37
  6. Step 6: Final answer
    x = 500.42

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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.