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Finding the Fourth Proportional to 453.65, 677.58 and 410.24

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Solution

The fourth proportional to 453.65, 677.58 and 410.24 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.65 : 677.58 = 410.24 : x
  2. Step 2: Convert to fraction form
    453.65/677.58 = 410.24/x
  3. Step 3: Cross multiply
    453.65x = 677.58 × 410.24
  4. Step 4: Simplify right side
    453.65x = 277,970.42
  5. Step 5: Solve for x
    x = 277,970.42/453.65
  6. Step 6: Final answer
    x = 612.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.