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Finding the Fourth Proportional to 565.51, 780.10 and 466.69

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Solution

The fourth proportional to 565.51, 780.10 and 466.69 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.51 : 780.10 = 466.69 : x
  2. Step 2: Convert to fraction form
    565.51/780.10 = 466.69/x
  3. Step 3: Cross multiply
    565.51x = 780.10 × 466.69
  4. Step 4: Simplify right side
    565.51x = 364,064.87
  5. Step 5: Solve for x
    x = 364,064.87/565.51
  6. Step 6: Final answer
    x = 643.78

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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.