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Finding the Fourth Proportional to 864.07, 1,296.10 and 351.07

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Solution

The fourth proportional to 864.07, 1,296.10 and 351.07 is: 526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,296.10 = 351.07 : x
  2. Step 2: Convert to fraction form
    864.07/1,296.10 = 351.07/x
  3. Step 3: Cross multiply
    864.07x = 1,296.10 × 351.07
  4. Step 4: Simplify right side
    864.07x = 455,015.35
  5. Step 5: Solve for x
    x = 455,015.35/864.07
  6. Step 6: Final answer
    x = 526.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.