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Finding the Fourth Proportional to 657.21, 907.00 and 460.79

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Solution

The fourth proportional to 657.21, 907.00 and 460.79 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 907.00 = 460.79 : x
  2. Step 2: Convert to fraction form
    657.21/907.00 = 460.79/x
  3. Step 3: Cross multiply
    657.21x = 907.00 × 460.79
  4. Step 4: Simplify right side
    657.21x = 417,934.24
  5. Step 5: Solve for x
    x = 417,934.24/657.21
  6. Step 6: Final answer
    x = 635.92

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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.