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Finding the Fourth Proportional to 509.07, 759.86 and 472.96

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Solution

The fourth proportional to 509.07, 759.86 and 472.96 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 759.86 = 472.96 : x
  2. Step 2: Convert to fraction form
    509.07/759.86 = 472.96/x
  3. Step 3: Cross multiply
    509.07x = 759.86 × 472.96
  4. Step 4: Simplify right side
    509.07x = 359,383.39
  5. Step 5: Solve for x
    x = 359,383.39/509.07
  6. Step 6: Final answer
    x = 705.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.