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Finding the Fourth Proportional to 522.66, 780.46 and 454.34

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Solution

The fourth proportional to 522.66, 780.46 and 454.34 is: 678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 780.46 = 454.34 : x
  2. Step 2: Convert to fraction form
    522.66/780.46 = 454.34/x
  3. Step 3: Cross multiply
    522.66x = 780.46 × 454.34
  4. Step 4: Simplify right side
    522.66x = 354,594.20
  5. Step 5: Solve for x
    x = 354,594.20/522.66
  6. Step 6: Final answer
    x = 678.44

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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.