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Finding the Fourth Proportional to 657.51, 907.83 and 422.06

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Solution

The fourth proportional to 657.51, 907.83 and 422.06 is: 582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.51 : 907.83 = 422.06 : x
  2. Step 2: Convert to fraction form
    657.51/907.83 = 422.06/x
  3. Step 3: Cross multiply
    657.51x = 907.83 × 422.06
  4. Step 4: Simplify right side
    657.51x = 383,159.42
  5. Step 5: Solve for x
    x = 383,159.42/657.51
  6. Step 6: Final answer
    x = 582.74

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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.