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Finding the Fourth Proportional to 524.88, 724.60 and 367.84

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Solution

The fourth proportional to 524.88, 724.60 and 367.84 is: 507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 724.60 = 367.84 : x
  2. Step 2: Convert to fraction form
    524.88/724.60 = 367.84/x
  3. Step 3: Cross multiply
    524.88x = 724.60 × 367.84
  4. Step 4: Simplify right side
    524.88x = 266,536.16
  5. Step 5: Solve for x
    x = 266,536.16/524.88
  6. Step 6: Final answer
    x = 507.80

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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.