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Finding the Fourth Proportional to 585.44, 873.36 and 569.55

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Solution

The fourth proportional to 585.44, 873.36 and 569.55 is: 849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 873.36 = 569.55 : x
  2. Step 2: Convert to fraction form
    585.44/873.36 = 569.55/x
  3. Step 3: Cross multiply
    585.44x = 873.36 × 569.55
  4. Step 4: Simplify right side
    585.44x = 497,422.19
  5. Step 5: Solve for x
    x = 497,422.19/585.44
  6. Step 6: Final answer
    x = 849.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.