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Finding the Fourth Proportional to 612.69, 918.58 and 288.29

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Solution

The fourth proportional to 612.69, 918.58 and 288.29 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.69 : 918.58 = 288.29 : x
  2. Step 2: Convert to fraction form
    612.69/918.58 = 288.29/x
  3. Step 3: Cross multiply
    612.69x = 918.58 × 288.29
  4. Step 4: Simplify right side
    612.69x = 264,812.11
  5. Step 5: Solve for x
    x = 264,812.11/612.69
  6. Step 6: Final answer
    x = 432.21

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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.