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Finding the Fourth Proportional to 454.41, 677.67 and 407.03

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Solution

The fourth proportional to 454.41, 677.67 and 407.03 is: 607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 677.67 = 407.03 : x
  2. Step 2: Convert to fraction form
    454.41/677.67 = 407.03/x
  3. Step 3: Cross multiply
    454.41x = 677.67 × 407.03
  4. Step 4: Simplify right side
    454.41x = 275,827.11
  5. Step 5: Solve for x
    x = 275,827.11/454.41
  6. Step 6: Final answer
    x = 607.00

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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.