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Finding the Fourth Proportional to 410.72, 566.82 and 253.35

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Solution

The fourth proportional to 410.72, 566.82 and 253.35 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 566.82 = 253.35 : x
  2. Step 2: Convert to fraction form
    410.72/566.82 = 253.35/x
  3. Step 3: Cross multiply
    410.72x = 566.82 × 253.35
  4. Step 4: Simplify right side
    410.72x = 143,603.85
  5. Step 5: Solve for x
    x = 143,603.85/410.72
  6. Step 6: Final answer
    x = 349.64

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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.