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Finding the Fourth Proportional to 602.94, 831.54 and 416.13

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Solution

The fourth proportional to 602.94, 831.54 and 416.13 is: 573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 831.54 = 416.13 : x
  2. Step 2: Convert to fraction form
    602.94/831.54 = 416.13/x
  3. Step 3: Cross multiply
    602.94x = 831.54 × 416.13
  4. Step 4: Simplify right side
    602.94x = 346,028.74
  5. Step 5: Solve for x
    x = 346,028.74/602.94
  6. Step 6: Final answer
    x = 573.90

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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.