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Finding the Fourth Proportional to 864.40, 1,296.80 and 287.24

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Solution

The fourth proportional to 864.40, 1,296.80 and 287.24 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.40 : 1,296.80 = 287.24 : x
  2. Step 2: Convert to fraction form
    864.40/1,296.80 = 287.24/x
  3. Step 3: Cross multiply
    864.40x = 1,296.80 × 287.24
  4. Step 4: Simplify right side
    864.40x = 372,492.83
  5. Step 5: Solve for x
    x = 372,492.83/864.40
  6. Step 6: Final answer
    x = 430.93

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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.