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Finding the Fourth Proportional to 580.08, 801.23 and 510.22

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Solution

The fourth proportional to 580.08, 801.23 and 510.22 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 801.23 = 510.22 : x
  2. Step 2: Convert to fraction form
    580.08/801.23 = 510.22/x
  3. Step 3: Cross multiply
    580.08x = 801.23 × 510.22
  4. Step 4: Simplify right side
    580.08x = 408,803.57
  5. Step 5: Solve for x
    x = 408,803.57/580.08
  6. Step 6: Final answer
    x = 704.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.