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Finding the Fourth Proportional to 509.10, 697.39 and 507.66

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Solution

The fourth proportional to 509.10, 697.39 and 507.66 is: 695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 697.39 = 507.66 : x
  2. Step 2: Convert to fraction form
    509.10/697.39 = 507.66/x
  3. Step 3: Cross multiply
    509.10x = 697.39 × 507.66
  4. Step 4: Simplify right side
    509.10x = 354,037.01
  5. Step 5: Solve for x
    x = 354,037.01/509.10
  6. Step 6: Final answer
    x = 695.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.