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Finding the Fourth Proportional to 459.73, 634.55 and 284.98

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Solution

The fourth proportional to 459.73, 634.55 and 284.98 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 634.55 = 284.98 : x
  2. Step 2: Convert to fraction form
    459.73/634.55 = 284.98/x
  3. Step 3: Cross multiply
    459.73x = 634.55 × 284.98
  4. Step 4: Simplify right side
    459.73x = 180,834.06
  5. Step 5: Solve for x
    x = 180,834.06/459.73
  6. Step 6: Final answer
    x = 393.35

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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.