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Finding the Fourth Proportional to 585.93, 878.29 and 312.35

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Solution

The fourth proportional to 585.93, 878.29 and 312.35 is: 468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 878.29 = 312.35 : x
  2. Step 2: Convert to fraction form
    585.93/878.29 = 312.35/x
  3. Step 3: Cross multiply
    585.93x = 878.29 × 312.35
  4. Step 4: Simplify right side
    585.93x = 274,332.32
  5. Step 5: Solve for x
    x = 274,332.32/585.93
  6. Step 6: Final answer
    x = 468.20

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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.