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Finding the Fourth Proportional to 602.29, 831.18 and 340.33

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Solution

The fourth proportional to 602.29, 831.18 and 340.33 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.29 : 831.18 = 340.33 : x
  2. Step 2: Convert to fraction form
    602.29/831.18 = 340.33/x
  3. Step 3: Cross multiply
    602.29x = 831.18 × 340.33
  4. Step 4: Simplify right side
    602.29x = 282,875.49
  5. Step 5: Solve for x
    x = 282,875.49/602.29
  6. Step 6: Final answer
    x = 469.67

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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.