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Finding the Fourth Proportional to 456.24, 684.72 and 365.76

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Solution

The fourth proportional to 456.24, 684.72 and 365.76 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 684.72 = 365.76 : x
  2. Step 2: Convert to fraction form
    456.24/684.72 = 365.76/x
  3. Step 3: Cross multiply
    456.24x = 684.72 × 365.76
  4. Step 4: Simplify right side
    456.24x = 250,443.19
  5. Step 5: Solve for x
    x = 250,443.19/456.24
  6. Step 6: Final answer
    x = 548.93

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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.