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Finding the Fourth Proportional to 864.52, 1,296.44 and 301.51

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Solution

The fourth proportional to 864.52, 1,296.44 and 301.51 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.52 : 1,296.44 = 301.51 : x
  2. Step 2: Convert to fraction form
    864.52/1,296.44 = 301.51/x
  3. Step 3: Cross multiply
    864.52x = 1,296.44 × 301.51
  4. Step 4: Simplify right side
    864.52x = 390,881.63
  5. Step 5: Solve for x
    x = 390,881.63/864.52
  6. Step 6: Final answer
    x = 452.14

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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.