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Finding the Fourth Proportional to 589.01, 885.74 and 472.16

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Solution

The fourth proportional to 589.01, 885.74 and 472.16 is: 710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.01 : 885.74 = 472.16 : x
  2. Step 2: Convert to fraction form
    589.01/885.74 = 472.16/x
  3. Step 3: Cross multiply
    589.01x = 885.74 × 472.16
  4. Step 4: Simplify right side
    589.01x = 418,210.85
  5. Step 5: Solve for x
    x = 418,210.85/589.01
  6. Step 6: Final answer
    x = 710.03

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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.