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Finding the Fourth Proportional to 495.76, 682.92 and 473.68

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Solution

The fourth proportional to 495.76, 682.92 and 473.68 is: 652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 682.92 = 473.68 : x
  2. Step 2: Convert to fraction form
    495.76/682.92 = 473.68/x
  3. Step 3: Cross multiply
    495.76x = 682.92 × 473.68
  4. Step 4: Simplify right side
    495.76x = 323,485.55
  5. Step 5: Solve for x
    x = 323,485.55/495.76
  6. Step 6: Final answer
    x = 652.50

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1.5x scale

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.