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Finding the Fourth Proportional to 605.56, 910.02 and 590.92

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Solution

The fourth proportional to 605.56, 910.02 and 590.92 is: 888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 910.02 = 590.92 : x
  2. Step 2: Convert to fraction form
    605.56/910.02 = 590.92/x
  3. Step 3: Cross multiply
    605.56x = 910.02 × 590.92
  4. Step 4: Simplify right side
    605.56x = 537,749.02
  5. Step 5: Solve for x
    x = 537,749.02/605.56
  6. Step 6: Final answer
    x = 888.02

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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.