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Finding the Fourth Proportional to 477.19, 710.36 and 454.83

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Solution

The fourth proportional to 477.19, 710.36 and 454.83 is: 677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 710.36 = 454.83 : x
  2. Step 2: Convert to fraction form
    477.19/710.36 = 454.83/x
  3. Step 3: Cross multiply
    477.19x = 710.36 × 454.83
  4. Step 4: Simplify right side
    477.19x = 323,091.09
  5. Step 5: Solve for x
    x = 323,091.09/477.19
  6. Step 6: Final answer
    x = 677.07

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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.