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Finding the Fourth Proportional to 453.74, 621.79 and 410.00

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Solution

The fourth proportional to 453.74, 621.79 and 410.00 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.74 : 621.79 = 410.00 : x
  2. Step 2: Convert to fraction form
    453.74/621.79 = 410.00/x
  3. Step 3: Cross multiply
    453.74x = 621.79 × 410.00
  4. Step 4: Simplify right side
    453.74x = 254,932.07
  5. Step 5: Solve for x
    x = 254,932.07/453.74
  6. Step 6: Final answer
    x = 561.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.