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Finding the Fourth Proportional to 583.14, 873.16 and 351.70

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Solution

The fourth proportional to 583.14, 873.16 and 351.70 is: 526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 873.16 = 351.70 : x
  2. Step 2: Convert to fraction form
    583.14/873.16 = 351.70/x
  3. Step 3: Cross multiply
    583.14x = 873.16 × 351.70
  4. Step 4: Simplify right side
    583.14x = 307,090.37
  5. Step 5: Solve for x
    x = 307,090.37/583.14
  6. Step 6: Final answer
    x = 526.62

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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.