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Finding the Fourth Proportional to 596.39, 894.56 and 390.35

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Solution

The fourth proportional to 596.39, 894.56 and 390.35 is: 585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 894.56 = 390.35 : x
  2. Step 2: Convert to fraction form
    596.39/894.56 = 390.35/x
  3. Step 3: Cross multiply
    596.39x = 894.56 × 390.35
  4. Step 4: Simplify right side
    596.39x = 349,185.07
  5. Step 5: Solve for x
    x = 349,185.07/596.39
  6. Step 6: Final answer
    x = 585.50

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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.