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Finding the Fourth Proportional to 584.82, 882.45 and 562.32

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Solution

The fourth proportional to 584.82, 882.45 and 562.32 is: 848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 882.45 = 562.32 : x
  2. Step 2: Convert to fraction form
    584.82/882.45 = 562.32/x
  3. Step 3: Cross multiply
    584.82x = 882.45 × 562.32
  4. Step 4: Simplify right side
    584.82x = 496,219.28
  5. Step 5: Solve for x
    x = 496,219.28/584.82
  6. Step 6: Final answer
    x = 848.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.