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Finding the Fourth Proportional to 509.61, 701.95 and 475.59

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Solution

The fourth proportional to 509.61, 701.95 and 475.59 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 701.95 = 475.59 : x
  2. Step 2: Convert to fraction form
    509.61/701.95 = 475.59/x
  3. Step 3: Cross multiply
    509.61x = 701.95 × 475.59
  4. Step 4: Simplify right side
    509.61x = 333,843.63
  5. Step 5: Solve for x
    x = 333,843.63/509.61
  6. Step 6: Final answer
    x = 655.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.