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Finding the Fourth Proportional to 495.60, 746.70 and 456.24

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Solution

The fourth proportional to 495.60, 746.70 and 456.24 is: 687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 746.70 = 456.24 : x
  2. Step 2: Convert to fraction form
    495.60/746.70 = 456.24/x
  3. Step 3: Cross multiply
    495.60x = 746.70 × 456.24
  4. Step 4: Simplify right side
    495.60x = 340,674.41
  5. Step 5: Solve for x
    x = 340,674.41/495.60
  6. Step 6: Final answer
    x = 687.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.