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Finding the Fourth Proportional to 580.03, 870.13 and 214.79

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Solution

The fourth proportional to 580.03, 870.13 and 214.79 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.03 : 870.13 = 214.79 : x
  2. Step 2: Convert to fraction form
    580.03/870.13 = 214.79/x
  3. Step 3: Cross multiply
    580.03x = 870.13 × 214.79
  4. Step 4: Simplify right side
    580.03x = 186,895.22
  5. Step 5: Solve for x
    x = 186,895.22/580.03
  6. Step 6: Final answer
    x = 322.22

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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.