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Finding the Fourth Proportional to 522.99, 787.23 and 402.66

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Solution

The fourth proportional to 522.99, 787.23 and 402.66 is: 606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.99 : 787.23 = 402.66 : x
  2. Step 2: Convert to fraction form
    522.99/787.23 = 402.66/x
  3. Step 3: Cross multiply
    522.99x = 787.23 × 402.66
  4. Step 4: Simplify right side
    522.99x = 316,986.03
  5. Step 5: Solve for x
    x = 316,986.03/522.99
  6. Step 6: Final answer
    x = 606.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.