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Finding the Fourth Proportional to 602.78, 831.47 and 491.67

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Solution

The fourth proportional to 602.78, 831.47 and 491.67 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 831.47 = 491.67 : x
  2. Step 2: Convert to fraction form
    602.78/831.47 = 491.67/x
  3. Step 3: Cross multiply
    602.78x = 831.47 × 491.67
  4. Step 4: Simplify right side
    602.78x = 408,806.40
  5. Step 5: Solve for x
    x = 408,806.40/602.78
  6. Step 6: Final answer
    x = 678.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.