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Finding the Fourth Proportional to 585.09, 877.35 and 200.07

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Solution

The fourth proportional to 585.09, 877.35 and 200.07 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 877.35 = 200.07 : x
  2. Step 2: Convert to fraction form
    585.09/877.35 = 200.07/x
  3. Step 3: Cross multiply
    585.09x = 877.35 × 200.07
  4. Step 4: Simplify right side
    585.09x = 175,531.41
  5. Step 5: Solve for x
    x = 175,531.41/585.09
  6. Step 6: Final answer
    x = 300.01

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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.