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Finding the Fourth Proportional to 584.02, 876.12 and 310.06

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Solution

The fourth proportional to 584.02, 876.12 and 310.06 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 876.12 = 310.06 : x
  2. Step 2: Convert to fraction form
    584.02/876.12 = 310.06/x
  3. Step 3: Cross multiply
    584.02x = 876.12 × 310.06
  4. Step 4: Simplify right side
    584.02x = 271,649.77
  5. Step 5: Solve for x
    x = 271,649.77/584.02
  6. Step 6: Final answer
    x = 465.14

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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.