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Finding the Fourth Proportional to 604.59, 902.54 and 578.00

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Solution

The fourth proportional to 604.59, 902.54 and 578.00 is: 862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.59 : 902.54 = 578.00 : x
  2. Step 2: Convert to fraction form
    604.59/902.54 = 578.00/x
  3. Step 3: Cross multiply
    604.59x = 902.54 × 578.00
  4. Step 4: Simplify right side
    604.59x = 521,665.05
  5. Step 5: Solve for x
    x = 521,665.05/604.59
  6. Step 6: Final answer
    x = 862.84

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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.