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Finding the Fourth Proportional to 583.84, 875.48 and 172.87

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Solution

The fourth proportional to 583.84, 875.48 and 172.87 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.84 : 875.48 = 172.87 : x
  2. Step 2: Convert to fraction form
    583.84/875.48 = 172.87/x
  3. Step 3: Cross multiply
    583.84x = 875.48 × 172.87
  4. Step 4: Simplify right side
    583.84x = 151,341.61
  5. Step 5: Solve for x
    x = 151,341.61/583.84
  6. Step 6: Final answer
    x = 259.22

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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.