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Finding the Fourth Proportional to 287.40, 430.47 and 235.92

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Solution

The fourth proportional to 287.40, 430.47 and 235.92 is: 353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 430.47 = 235.92 : x
  2. Step 2: Convert to fraction form
    287.40/430.47 = 235.92/x
  3. Step 3: Cross multiply
    287.40x = 430.47 × 235.92
  4. Step 4: Simplify right side
    287.40x = 101,556.48
  5. Step 5: Solve for x
    x = 101,556.48/287.40
  6. Step 6: Final answer
    x = 353.36

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