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Finding the Fourth Proportional to 657.80, 907.59 and 433.71

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Solution

The fourth proportional to 657.80, 907.59 and 433.71 is: 598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 907.59 = 433.71 : x
  2. Step 2: Convert to fraction form
    657.80/907.59 = 433.71/x
  3. Step 3: Cross multiply
    657.80x = 907.59 × 433.71
  4. Step 4: Simplify right side
    657.80x = 393,626.32
  5. Step 5: Solve for x
    x = 393,626.32/657.80
  6. Step 6: Final answer
    x = 598.40

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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.