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Finding the Fourth Proportional to 459.84, 634.32 and 291.60

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Solution

The fourth proportional to 459.84, 634.32 and 291.60 is: 402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 634.32 = 291.60 : x
  2. Step 2: Convert to fraction form
    459.84/634.32 = 291.60/x
  3. Step 3: Cross multiply
    459.84x = 634.32 × 291.60
  4. Step 4: Simplify right side
    459.84x = 184,967.71
  5. Step 5: Solve for x
    x = 184,967.71/459.84
  6. Step 6: Final answer
    x = 402.24

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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.