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Finding the Fourth Proportional to 590.28, 881.40 and 528.18

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Solution

The fourth proportional to 590.28, 881.40 and 528.18 is: 788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.28 : 881.40 = 528.18 : x
  2. Step 2: Convert to fraction form
    590.28/881.40 = 528.18/x
  3. Step 3: Cross multiply
    590.28x = 881.40 × 528.18
  4. Step 4: Simplify right side
    590.28x = 465,537.85
  5. Step 5: Solve for x
    x = 465,537.85/590.28
  6. Step 6: Final answer
    x = 788.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.