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Finding the Fourth Proportional to 584.87, 805.95 and 437.24

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Solution

The fourth proportional to 584.87, 805.95 and 437.24 is: 602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.87 : 805.95 = 437.24 : x
  2. Step 2: Convert to fraction form
    584.87/805.95 = 437.24/x
  3. Step 3: Cross multiply
    584.87x = 805.95 × 437.24
  4. Step 4: Simplify right side
    584.87x = 352,395.59
  5. Step 5: Solve for x
    x = 352,395.59/584.87
  6. Step 6: Final answer
    x = 602.52

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