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Finding the Fourth Proportional to 366.66, 549.32 and 309.24

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Solution

The fourth proportional to 366.66, 549.32 and 309.24 is: 463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.66 : 549.32 = 309.24 : x
  2. Step 2: Convert to fraction form
    366.66/549.32 = 309.24/x
  3. Step 3: Cross multiply
    366.66x = 549.32 × 309.24
  4. Step 4: Simplify right side
    366.66x = 169,870.17
  5. Step 5: Solve for x
    x = 169,870.17/366.66
  6. Step 6: Final answer
    x = 463.29

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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.