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Finding the Fourth Proportional to 501.15, 690.30 and 353.52

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Solution

The fourth proportional to 501.15, 690.30 and 353.52 is: 486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 690.30 = 353.52 : x
  2. Step 2: Convert to fraction form
    501.15/690.30 = 353.52/x
  3. Step 3: Cross multiply
    501.15x = 690.30 × 353.52
  4. Step 4: Simplify right side
    501.15x = 244,033.09
  5. Step 5: Solve for x
    x = 244,033.09/501.15
  6. Step 6: Final answer
    x = 486.95

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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.