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Finding the Fourth Proportional to 495, 683.16 and 288

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Solution

The fourth proportional to 495, 683.16 and 288 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495 : 683.16 = 288 : x
  2. Step 2: Convert to fraction form
    495/683.16 = 288/x
  3. Step 3: Cross multiply
    495x = 683.16 × 288
  4. Step 4: Simplify right side
    495x = 196,750.08
  5. Step 5: Solve for x
    x = 196,750.08/495
  6. Step 6: Final answer
    x = 397.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.