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Finding the Fourth Proportional to 590.24, 883.99 and 569.74

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Solution

The fourth proportional to 590.24, 883.99 and 569.74 is: 853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 883.99 = 569.74 : x
  2. Step 2: Convert to fraction form
    590.24/883.99 = 569.74/x
  3. Step 3: Cross multiply
    590.24x = 883.99 × 569.74
  4. Step 4: Simplify right side
    590.24x = 503,644.46
  5. Step 5: Solve for x
    x = 503,644.46/590.24
  6. Step 6: Final answer
    x = 853.29

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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.