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Finding the Fourth Proportional to 420.16, 579.84 and 282.24

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Solution

The fourth proportional to 420.16, 579.84 and 282.24 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 579.84 = 282.24 : x
  2. Step 2: Convert to fraction form
    420.16/579.84 = 282.24/x
  3. Step 3: Cross multiply
    420.16x = 579.84 × 282.24
  4. Step 4: Simplify right side
    420.16x = 163,654.04
  5. Step 5: Solve for x
    x = 163,654.04/420.16
  6. Step 6: Final answer
    x = 389.50

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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.