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Finding the Fourth Proportional to 509.10, 701.70 and 404.01

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Solution

The fourth proportional to 509.10, 701.70 and 404.01 is: 556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 701.70 = 404.01 : x
  2. Step 2: Convert to fraction form
    509.10/701.70 = 404.01/x
  3. Step 3: Cross multiply
    509.10x = 701.70 × 404.01
  4. Step 4: Simplify right side
    509.10x = 283,493.82
  5. Step 5: Solve for x
    x = 283,493.82/509.10
  6. Step 6: Final answer
    x = 556.85

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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.