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Finding the Fourth Proportional to 360.93, 497.80 and 311.22

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Solution

The fourth proportional to 360.93, 497.80 and 311.22 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.93 : 497.80 = 311.22 : x
  2. Step 2: Convert to fraction form
    360.93/497.80 = 311.22/x
  3. Step 3: Cross multiply
    360.93x = 497.80 × 311.22
  4. Step 4: Simplify right side
    360.93x = 154,925.32
  5. Step 5: Solve for x
    x = 154,925.32/360.93
  6. Step 6: Final answer
    x = 429.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.