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Finding the Fourth Proportional to 583.03, 873.87 and 290.67

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Solution

The fourth proportional to 583.03, 873.87 and 290.67 is: 435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.03 : 873.87 = 290.67 : x
  2. Step 2: Convert to fraction form
    583.03/873.87 = 290.67/x
  3. Step 3: Cross multiply
    583.03x = 873.87 × 290.67
  4. Step 4: Simplify right side
    583.03x = 254,007.79
  5. Step 5: Solve for x
    x = 254,007.79/583.03
  6. Step 6: Final answer
    x = 435.67

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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.