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Finding the Fourth Proportional to 509.24, 703.00 and 416.98

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Solution

The fourth proportional to 509.24, 703.00 and 416.98 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 703.00 = 416.98 : x
  2. Step 2: Convert to fraction form
    509.24/703.00 = 416.98/x
  3. Step 3: Cross multiply
    509.24x = 703.00 × 416.98
  4. Step 4: Simplify right side
    509.24x = 293,135.99
  5. Step 5: Solve for x
    x = 293,135.99/509.24
  6. Step 6: Final answer
    x = 575.63

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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.