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Finding the Fourth Proportional to 366.18, 504.87 and 307.40

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Solution

The fourth proportional to 366.18, 504.87 and 307.40 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 504.87 = 307.40 : x
  2. Step 2: Convert to fraction form
    366.18/504.87 = 307.40/x
  3. Step 3: Cross multiply
    366.18x = 504.87 × 307.40
  4. Step 4: Simplify right side
    366.18x = 155,194.51
  5. Step 5: Solve for x
    x = 155,194.51/366.18
  6. Step 6: Final answer
    x = 423.82

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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.