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Finding the Fourth Proportional to 577.02, 794.61 and 402.06

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Solution

The fourth proportional to 577.02, 794.61 and 402.06 is: 553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 794.61 = 402.06 : x
  2. Step 2: Convert to fraction form
    577.02/794.61 = 402.06/x
  3. Step 3: Cross multiply
    577.02x = 794.61 × 402.06
  4. Step 4: Simplify right side
    577.02x = 319,480.90
  5. Step 5: Solve for x
    x = 319,480.90/577.02
  6. Step 6: Final answer
    x = 553.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.