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Finding the Fourth Proportional to 532.06, 798.41 and 288.58

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Solution

The fourth proportional to 532.06, 798.41 and 288.58 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 798.41 = 288.58 : x
  2. Step 2: Convert to fraction form
    532.06/798.41 = 288.58/x
  3. Step 3: Cross multiply
    532.06x = 798.41 × 288.58
  4. Step 4: Simplify right side
    532.06x = 230,405.16
  5. Step 5: Solve for x
    x = 230,405.16/532.06
  6. Step 6: Final answer
    x = 433.04

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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.