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Finding the Fourth Proportional to 508.85, 706.93 and 503.85

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Solution

The fourth proportional to 508.85, 706.93 and 503.85 is: 699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 706.93 = 503.85 : x
  2. Step 2: Convert to fraction form
    508.85/706.93 = 503.85/x
  3. Step 3: Cross multiply
    508.85x = 706.93 × 503.85
  4. Step 4: Simplify right side
    508.85x = 356,188.07
  5. Step 5: Solve for x
    x = 356,188.07/508.85
  6. Step 6: Final answer
    x = 699.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.