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Finding the Fourth Proportional to 504.24, 756.84 and 472.80

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Solution

The fourth proportional to 504.24, 756.84 and 472.80 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 756.84 = 472.80 : x
  2. Step 2: Convert to fraction form
    504.24/756.84 = 472.80/x
  3. Step 3: Cross multiply
    504.24x = 756.84 × 472.80
  4. Step 4: Simplify right side
    504.24x = 357,833.95
  5. Step 5: Solve for x
    x = 357,833.95/504.24
  6. Step 6: Final answer
    x = 709.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.