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Finding the Fourth Proportional to 410.76, 568.08 and 367.02

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Solution

The fourth proportional to 410.76, 568.08 and 367.02 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 568.08 = 367.02 : x
  2. Step 2: Convert to fraction form
    410.76/568.08 = 367.02/x
  3. Step 3: Cross multiply
    410.76x = 568.08 × 367.02
  4. Step 4: Simplify right side
    410.76x = 208,496.72
  5. Step 5: Solve for x
    x = 208,496.72/410.76
  6. Step 6: Final answer
    x = 507.59

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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.