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Finding the Fourth Proportional to 309.88, 465.02 and 285.16

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Solution

The fourth proportional to 309.88, 465.02 and 285.16 is: 427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 465.02 = 285.16 : x
  2. Step 2: Convert to fraction form
    309.88/465.02 = 285.16/x
  3. Step 3: Cross multiply
    309.88x = 465.02 × 285.16
  4. Step 4: Simplify right side
    309.88x = 132,605.10
  5. Step 5: Solve for x
    x = 132,605.10/309.88
  6. Step 6: Final answer
    x = 427.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.