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Finding the Fourth Proportional to 584.20, 805.62 and 453.16

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Solution

The fourth proportional to 584.20, 805.62 and 453.16 is: 624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 805.62 = 453.16 : x
  2. Step 2: Convert to fraction form
    584.20/805.62 = 453.16/x
  3. Step 3: Cross multiply
    584.20x = 805.62 × 453.16
  4. Step 4: Simplify right side
    584.20x = 365,074.76
  5. Step 5: Solve for x
    x = 365,074.76/584.20
  6. Step 6: Final answer
    x = 624.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.