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Finding the Fourth Proportional to 508.48, 700.30 and 506.96

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Solution

The fourth proportional to 508.48, 700.30 and 506.96 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 700.30 = 506.96 : x
  2. Step 2: Convert to fraction form
    508.48/700.30 = 506.96/x
  3. Step 3: Cross multiply
    508.48x = 700.30 × 506.96
  4. Step 4: Simplify right side
    508.48x = 355,020.99
  5. Step 5: Solve for x
    x = 355,020.99/508.48
  6. Step 6: Final answer
    x = 698.20

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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.