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Finding the Fourth Proportional to 873.30, 1,310.16 and 288.35

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Solution

The fourth proportional to 873.30, 1,310.16 and 288.35 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.30 : 1,310.16 = 288.35 : x
  2. Step 2: Convert to fraction form
    873.30/1,310.16 = 288.35/x
  3. Step 3: Cross multiply
    873.30x = 1,310.16 × 288.35
  4. Step 4: Simplify right side
    873.30x = 377,784.64
  5. Step 5: Solve for x
    x = 377,784.64/873.30
  6. Step 6: Final answer
    x = 432.59

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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.