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Finding the Fourth Proportional to 602.32, 831.14 and 336.74

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Solution

The fourth proportional to 602.32, 831.14 and 336.74 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.32 : 831.14 = 336.74 : x
  2. Step 2: Convert to fraction form
    602.32/831.14 = 336.74/x
  3. Step 3: Cross multiply
    602.32x = 831.14 × 336.74
  4. Step 4: Simplify right side
    602.32x = 279,878.08
  5. Step 5: Solve for x
    x = 279,878.08/602.32
  6. Step 6: Final answer
    x = 464.67

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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.