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Finding the Fourth Proportional to 658.16, 907.97 and 433.80

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Solution

The fourth proportional to 658.16, 907.97 and 433.80 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 907.97 = 433.80 : x
  2. Step 2: Convert to fraction form
    658.16/907.97 = 433.80/x
  3. Step 3: Cross multiply
    658.16x = 907.97 × 433.80
  4. Step 4: Simplify right side
    658.16x = 393,877.39
  5. Step 5: Solve for x
    x = 393,877.39/658.16
  6. Step 6: Final answer
    x = 598.45

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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.