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Finding the Fourth Proportional to 288.72, 432.54 and 243

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Solution

The fourth proportional to 288.72, 432.54 and 243 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 432.54 = 243 : x
  2. Step 2: Convert to fraction form
    288.72/432.54 = 243/x
  3. Step 3: Cross multiply
    288.72x = 432.54 × 243
  4. Step 4: Simplify right side
    288.72x = 105,107.22
  5. Step 5: Solve for x
    x = 105,107.22/288.72
  6. Step 6: Final answer
    x = 364.05

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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.