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Finding the Fourth Proportional to 590.55, 884.03 and 460.95

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Solution

The fourth proportional to 590.55, 884.03 and 460.95 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.55 : 884.03 = 460.95 : x
  2. Step 2: Convert to fraction form
    590.55/884.03 = 460.95/x
  3. Step 3: Cross multiply
    590.55x = 884.03 × 460.95
  4. Step 4: Simplify right side
    590.55x = 407,491.32
  5. Step 5: Solve for x
    x = 407,491.32/590.55
  6. Step 6: Final answer
    x = 690.02

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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.