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Finding the Fourth Proportional to 602.17, 831.40 and 378.20

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Solution

The fourth proportional to 602.17, 831.40 and 378.20 is: 522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.17 : 831.40 = 378.20 : x
  2. Step 2: Convert to fraction form
    602.17/831.40 = 378.20/x
  3. Step 3: Cross multiply
    602.17x = 831.40 × 378.20
  4. Step 4: Simplify right side
    602.17x = 314,436.61
  5. Step 5: Solve for x
    x = 314,436.61/602.17
  6. Step 6: Final answer
    x = 522.17

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1.5x scale

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.