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Finding the Fourth Proportional to 589.02, 881.48 and 473.18

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Solution

The fourth proportional to 589.02, 881.48 and 473.18 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 881.48 = 473.18 : x
  2. Step 2: Convert to fraction form
    589.02/881.48 = 473.18/x
  3. Step 3: Cross multiply
    589.02x = 881.48 × 473.18
  4. Step 4: Simplify right side
    589.02x = 417,098.71
  5. Step 5: Solve for x
    x = 417,098.71/589.02
  6. Step 6: Final answer
    x = 708.12

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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.