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Finding the Fourth Proportional to 566.42, 781.78 and 468.00

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Solution

The fourth proportional to 566.42, 781.78 and 468.00 is: 645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 781.78 = 468.00 : x
  2. Step 2: Convert to fraction form
    566.42/781.78 = 468.00/x
  3. Step 3: Cross multiply
    566.42x = 781.78 × 468.00
  4. Step 4: Simplify right side
    566.42x = 365,873.63
  5. Step 5: Solve for x
    x = 365,873.63/566.42
  6. Step 6: Final answer
    x = 645.94

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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.