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Finding the Fourth Proportional to 364.95, 547.65 and 288.45

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Solution

The fourth proportional to 364.95, 547.65 and 288.45 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 547.65 = 288.45 : x
  2. Step 2: Convert to fraction form
    364.95/547.65 = 288.45/x
  3. Step 3: Cross multiply
    364.95x = 547.65 × 288.45
  4. Step 4: Simplify right side
    364.95x = 157,969.64
  5. Step 5: Solve for x
    x = 157,969.64/364.95
  6. Step 6: Final answer
    x = 432.85

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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.