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Finding the Fourth Proportional to 459.84, 635.52 and 402.24

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Solution

The fourth proportional to 459.84, 635.52 and 402.24 is: 555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 635.52 = 402.24 : x
  2. Step 2: Convert to fraction form
    459.84/635.52 = 402.24/x
  3. Step 3: Cross multiply
    459.84x = 635.52 × 402.24
  4. Step 4: Simplify right side
    459.84x = 255,631.56
  5. Step 5: Solve for x
    x = 255,631.56/459.84
  6. Step 6: Final answer
    x = 555.91

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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.