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Finding the Fourth Proportional to 580.95, 802.04 and 404.19

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Solution

The fourth proportional to 580.95, 802.04 and 404.19 is: 558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.95 : 802.04 = 404.19 : x
  2. Step 2: Convert to fraction form
    580.95/802.04 = 404.19/x
  3. Step 3: Cross multiply
    580.95x = 802.04 × 404.19
  4. Step 4: Simplify right side
    580.95x = 324,174.53
  5. Step 5: Solve for x
    x = 324,174.53/580.95
  6. Step 6: Final answer
    x = 558.01

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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.