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Finding the Fourth Proportional to 580.08, 801.56 and 414.01

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Solution

The fourth proportional to 580.08, 801.56 and 414.01 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 801.56 = 414.01 : x
  2. Step 2: Convert to fraction form
    580.08/801.56 = 414.01/x
  3. Step 3: Cross multiply
    580.08x = 801.56 × 414.01
  4. Step 4: Simplify right side
    580.08x = 331,855.89
  5. Step 5: Solve for x
    x = 331,855.89/580.08
  6. Step 6: Final answer
    x = 572.08

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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.