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Finding the Fourth Proportional to 495.76, 743.88 and 312.64

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Solution

The fourth proportional to 495.76, 743.88 and 312.64 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 743.88 = 312.64 : x
  2. Step 2: Convert to fraction form
    495.76/743.88 = 312.64/x
  3. Step 3: Cross multiply
    495.76x = 743.88 × 312.64
  4. Step 4: Simplify right side
    495.76x = 232,566.64
  5. Step 5: Solve for x
    x = 232,566.64/495.76
  6. Step 6: Final answer
    x = 469.11

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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.