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Finding the Fourth Proportional to 580.70, 802.14 and 433.08

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Solution

The fourth proportional to 580.70, 802.14 and 433.08 is: 598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 802.14 = 433.08 : x
  2. Step 2: Convert to fraction form
    580.70/802.14 = 433.08/x
  3. Step 3: Cross multiply
    580.70x = 802.14 × 433.08
  4. Step 4: Simplify right side
    580.70x = 347,390.79
  5. Step 5: Solve for x
    x = 347,390.79/580.70
  6. Step 6: Final answer
    x = 598.23

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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.