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Finding the Fourth Proportional to 580.02, 870.09 and 214.74

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Solution

The fourth proportional to 580.02, 870.09 and 214.74 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 870.09 = 214.74 : x
  2. Step 2: Convert to fraction form
    580.02/870.09 = 214.74/x
  3. Step 3: Cross multiply
    580.02x = 870.09 × 214.74
  4. Step 4: Simplify right side
    580.02x = 186,843.13
  5. Step 5: Solve for x
    x = 186,843.13/580.02
  6. Step 6: Final answer
    x = 322.13

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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.