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Finding the Fourth Proportional to 566.06, 848.40 and 463.56

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Solution

The fourth proportional to 566.06, 848.40 and 463.56 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 848.40 = 463.56 : x
  2. Step 2: Convert to fraction form
    566.06/848.40 = 463.56/x
  3. Step 3: Cross multiply
    566.06x = 848.40 × 463.56
  4. Step 4: Simplify right side
    566.06x = 393,284.30
  5. Step 5: Solve for x
    x = 393,284.30/566.06
  6. Step 6: Final answer
    x = 694.77

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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.