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Finding the Fourth Proportional to 353.40, 529.38 and 316.98

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Solution

The fourth proportional to 353.40, 529.38 and 316.98 is: 474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 529.38 = 316.98 : x
  2. Step 2: Convert to fraction form
    353.40/529.38 = 316.98/x
  3. Step 3: Cross multiply
    353.40x = 529.38 × 316.98
  4. Step 4: Simplify right side
    353.40x = 167,802.87
  5. Step 5: Solve for x
    x = 167,802.87/353.40
  6. Step 6: Final answer
    x = 474.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.