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Finding the Fourth Proportional to 565.08, 779.34 and 429.98

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Solution

The fourth proportional to 565.08, 779.34 and 429.98 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 779.34 = 429.98 : x
  2. Step 2: Convert to fraction form
    565.08/779.34 = 429.98/x
  3. Step 3: Cross multiply
    565.08x = 779.34 × 429.98
  4. Step 4: Simplify right side
    565.08x = 335,100.61
  5. Step 5: Solve for x
    x = 335,100.61/565.08
  6. Step 6: Final answer
    x = 593.01

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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.