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Finding the Fourth Proportional to 583.65, 875.57 and 309.96

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Solution

The fourth proportional to 583.65, 875.57 and 309.96 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 875.57 = 309.96 : x
  2. Step 2: Convert to fraction form
    583.65/875.57 = 309.96/x
  3. Step 3: Cross multiply
    583.65x = 875.57 × 309.96
  4. Step 4: Simplify right side
    583.65x = 271,390.13
  5. Step 5: Solve for x
    x = 271,390.13/583.65
  6. Step 6: Final answer
    x = 464.99

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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.