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Finding the Fourth Proportional to 584.02, 871.45 and 522.73

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Solution

The fourth proportional to 584.02, 871.45 and 522.73 is: 780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 871.45 = 522.73 : x
  2. Step 2: Convert to fraction form
    584.02/871.45 = 522.73/x
  3. Step 3: Cross multiply
    584.02x = 871.45 × 522.73
  4. Step 4: Simplify right side
    584.02x = 455,533.06
  5. Step 5: Solve for x
    x = 455,533.06/584.02
  6. Step 6: Final answer
    x = 780.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.