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Finding the Fourth Proportional to 612.68, 918.92 and 288.08

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Solution

The fourth proportional to 612.68, 918.92 and 288.08 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 918.92 = 288.08 : x
  2. Step 2: Convert to fraction form
    612.68/918.92 = 288.08/x
  3. Step 3: Cross multiply
    612.68x = 918.92 × 288.08
  4. Step 4: Simplify right side
    612.68x = 264,722.47
  5. Step 5: Solve for x
    x = 264,722.47/612.68
  6. Step 6: Final answer
    x = 432.07

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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.