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Finding the Fourth Proportional to 602.62, 831.66 and 583.49

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Solution

The fourth proportional to 602.62, 831.66 and 583.49 is: 805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.62 : 831.66 = 583.49 : x
  2. Step 2: Convert to fraction form
    602.62/831.66 = 583.49/x
  3. Step 3: Cross multiply
    602.62x = 831.66 × 583.49
  4. Step 4: Simplify right side
    602.62x = 485,261.14
  5. Step 5: Solve for x
    x = 485,261.14/602.62
  6. Step 6: Final answer
    x = 805.25

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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.