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Finding the Fourth Proportional to 355.05, 531.88 and 316.35

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Solution

The fourth proportional to 355.05, 531.88 and 316.35 is: 473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.05 : 531.88 = 316.35 : x
  2. Step 2: Convert to fraction form
    355.05/531.88 = 316.35/x
  3. Step 3: Cross multiply
    355.05x = 531.88 × 316.35
  4. Step 4: Simplify right side
    355.05x = 168,259.45
  5. Step 5: Solve for x
    x = 168,259.45/355.05
  6. Step 6: Final answer
    x = 473.90

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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.