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Finding the Fourth Proportional to 509.81, 702.86 and 405.25

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Solution

The fourth proportional to 509.81, 702.86 and 405.25 is: 558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 702.86 = 405.25 : x
  2. Step 2: Convert to fraction form
    509.81/702.86 = 405.25/x
  3. Step 3: Cross multiply
    509.81x = 702.86 × 405.25
  4. Step 4: Simplify right side
    509.81x = 284,834.02
  5. Step 5: Solve for x
    x = 284,834.02/509.81
  6. Step 6: Final answer
    x = 558.71

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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.