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Finding the Fourth Proportional to 590.25, 882.63 and 442.29

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Solution

The fourth proportional to 590.25, 882.63 and 442.29 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 882.63 = 442.29 : x
  2. Step 2: Convert to fraction form
    590.25/882.63 = 442.29/x
  3. Step 3: Cross multiply
    590.25x = 882.63 × 442.29
  4. Step 4: Simplify right side
    590.25x = 390,378.42
  5. Step 5: Solve for x
    x = 390,378.42/590.25
  6. Step 6: Final answer
    x = 661.38

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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.