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Finding the Fourth Proportional to 585.09, 807.57 and 427.95

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Solution

The fourth proportional to 585.09, 807.57 and 427.95 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 807.57 = 427.95 : x
  2. Step 2: Convert to fraction form
    585.09/807.57 = 427.95/x
  3. Step 3: Cross multiply
    585.09x = 807.57 × 427.95
  4. Step 4: Simplify right side
    585.09x = 345,599.58
  5. Step 5: Solve for x
    x = 345,599.58/585.09
  6. Step 6: Final answer
    x = 590.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.