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Finding the Fourth Proportional to 336.40, 501.62 and 314.98

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Solution

The fourth proportional to 336.40, 501.62 and 314.98 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.40 : 501.62 = 314.98 : x
  2. Step 2: Convert to fraction form
    336.40/501.62 = 314.98/x
  3. Step 3: Cross multiply
    336.40x = 501.62 × 314.98
  4. Step 4: Simplify right side
    336.40x = 158,000.27
  5. Step 5: Solve for x
    x = 158,000.27/336.40
  6. Step 6: Final answer
    x = 469.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.