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Finding the Fourth Proportional to 549.84, 825.36 and 290.16

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Solution

The fourth proportional to 549.84, 825.36 and 290.16 is: 435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 825.36 = 290.16 : x
  2. Step 2: Convert to fraction form
    549.84/825.36 = 290.16/x
  3. Step 3: Cross multiply
    549.84x = 825.36 × 290.16
  4. Step 4: Simplify right side
    549.84x = 239,486.46
  5. Step 5: Solve for x
    x = 239,486.46/549.84
  6. Step 6: Final answer
    x = 435.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.