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Finding the Fourth Proportional to 333.84, 498.06 and 315.60

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Solution

The fourth proportional to 333.84, 498.06 and 315.60 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 498.06 = 315.60 : x
  2. Step 2: Convert to fraction form
    333.84/498.06 = 315.60/x
  3. Step 3: Cross multiply
    333.84x = 498.06 × 315.60
  4. Step 4: Simplify right side
    333.84x = 157,187.74
  5. Step 5: Solve for x
    x = 157,187.74/333.84
  6. Step 6: Final answer
    x = 470.85

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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.