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Finding the Fourth Proportional to 288.58, 435 and 271.86

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Solution

The fourth proportional to 288.58, 435 and 271.86 is: 409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.58 : 435 = 271.86 : x
  2. Step 2: Convert to fraction form
    288.58/435 = 271.86/x
  3. Step 3: Cross multiply
    288.58x = 435 × 271.86
  4. Step 4: Simplify right side
    288.58x = 118,259.10
  5. Step 5: Solve for x
    x = 118,259.10/288.58
  6. Step 6: Final answer
    x = 409.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.