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Finding the Fourth Proportional to 566.08, 780.91 and 356.02

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Solution

The fourth proportional to 566.08, 780.91 and 356.02 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 780.91 = 356.02 : x
  2. Step 2: Convert to fraction form
    566.08/780.91 = 356.02/x
  3. Step 3: Cross multiply
    566.08x = 780.91 × 356.02
  4. Step 4: Simplify right side
    566.08x = 278,016.74
  5. Step 5: Solve for x
    x = 278,016.74/566.08
  6. Step 6: Final answer
    x = 491.13

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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.