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Finding the Fourth Proportional to 542.84, 749.42 and 412.16

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Solution

The fourth proportional to 542.84, 749.42 and 412.16 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 749.42 = 412.16 : x
  2. Step 2: Convert to fraction form
    542.84/749.42 = 412.16/x
  3. Step 3: Cross multiply
    542.84x = 749.42 × 412.16
  4. Step 4: Simplify right side
    542.84x = 308,880.95
  5. Step 5: Solve for x
    x = 308,880.95/542.84
  6. Step 6: Final answer
    x = 569.01

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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.