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Finding the Fourth Proportional to 410.58, 566.43 and 253.04

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Solution

The fourth proportional to 410.58, 566.43 and 253.04 is: 349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 566.43 = 253.04 : x
  2. Step 2: Convert to fraction form
    410.58/566.43 = 253.04/x
  3. Step 3: Cross multiply
    410.58x = 566.43 × 253.04
  4. Step 4: Simplify right side
    410.58x = 143,325.67
  5. Step 5: Solve for x
    x = 143,325.67/410.58
  6. Step 6: Final answer
    x = 349.08

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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.