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Finding the Fourth Proportional to 357.06, 533.02 and 310.92

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Solution

The fourth proportional to 357.06, 533.02 and 310.92 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 533.02 = 310.92 : x
  2. Step 2: Convert to fraction form
    357.06/533.02 = 310.92/x
  3. Step 3: Cross multiply
    357.06x = 533.02 × 310.92
  4. Step 4: Simplify right side
    357.06x = 165,726.58
  5. Step 5: Solve for x
    x = 165,726.58/357.06
  6. Step 6: Final answer
    x = 464.14

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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.