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Finding the Fourth Proportional to 566.43, 848.13 and 456.19

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Solution

The fourth proportional to 566.43, 848.13 and 456.19 is: 683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.43 : 848.13 = 456.19 : x
  2. Step 2: Convert to fraction form
    566.43/848.13 = 456.19/x
  3. Step 3: Cross multiply
    566.43x = 848.13 × 456.19
  4. Step 4: Simplify right side
    566.43x = 386,908.42
  5. Step 5: Solve for x
    x = 386,908.42/566.43
  6. Step 6: Final answer
    x = 683.06

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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.