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Finding the Fourth Proportional to 524.68, 782.34 and 469.96

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Solution

The fourth proportional to 524.68, 782.34 and 469.96 is: 700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 782.34 = 469.96 : x
  2. Step 2: Convert to fraction form
    524.68/782.34 = 469.96/x
  3. Step 3: Cross multiply
    524.68x = 782.34 × 469.96
  4. Step 4: Simplify right side
    524.68x = 367,668.51
  5. Step 5: Solve for x
    x = 367,668.51/524.68
  6. Step 6: Final answer
    x = 700.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.