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Finding the Fourth Proportional to 585.50, 873.05 and 562.41

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Solution

The fourth proportional to 585.50, 873.05 and 562.41 is: 838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 873.05 = 562.41 : x
  2. Step 2: Convert to fraction form
    585.50/873.05 = 562.41/x
  3. Step 3: Cross multiply
    585.50x = 873.05 × 562.41
  4. Step 4: Simplify right side
    585.50x = 491,009.24
  5. Step 5: Solve for x
    x = 491,009.24/585.50
  6. Step 6: Final answer
    x = 838.62

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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.