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Finding the Fourth Proportional to 566.91, 848.43 and 506.16

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Solution

The fourth proportional to 566.91, 848.43 and 506.16 is: 757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.91 : 848.43 = 506.16 : x
  2. Step 2: Convert to fraction form
    566.91/848.43 = 506.16/x
  3. Step 3: Cross multiply
    566.91x = 848.43 × 506.16
  4. Step 4: Simplify right side
    566.91x = 429,441.33
  5. Step 5: Solve for x
    x = 429,441.33/566.91
  6. Step 6: Final answer
    x = 757.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.