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Finding the Fourth Proportional to 580.36, 870.63 and 215.14

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Solution

The fourth proportional to 580.36, 870.63 and 215.14 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 870.63 = 215.14 : x
  2. Step 2: Convert to fraction form
    580.36/870.63 = 215.14/x
  3. Step 3: Cross multiply
    580.36x = 870.63 × 215.14
  4. Step 4: Simplify right side
    580.36x = 187,307.34
  5. Step 5: Solve for x
    x = 187,307.34/580.36
  6. Step 6: Final answer
    x = 322.74

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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.