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Finding the Fourth Proportional to 583.81, 876.01 and 378.32

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Solution

The fourth proportional to 583.81, 876.01 and 378.32 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.81 : 876.01 = 378.32 : x
  2. Step 2: Convert to fraction form
    583.81/876.01 = 378.32/x
  3. Step 3: Cross multiply
    583.81x = 876.01 × 378.32
  4. Step 4: Simplify right side
    583.81x = 331,412.10
  5. Step 5: Solve for x
    x = 331,412.10/583.81
  6. Step 6: Final answer
    x = 567.67

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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.