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Finding the Fourth Proportional to 565.51, 779.57 and 396.93

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Solution

The fourth proportional to 565.51, 779.57 and 396.93 is: 547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.51 : 779.57 = 396.93 : x
  2. Step 2: Convert to fraction form
    565.51/779.57 = 396.93/x
  3. Step 3: Cross multiply
    565.51x = 779.57 × 396.93
  4. Step 4: Simplify right side
    565.51x = 309,436.07
  5. Step 5: Solve for x
    x = 309,436.07/565.51
  6. Step 6: Final answer
    x = 547.18

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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.