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Finding the Fourth Proportional to 580.70, 802.00 and 360.18

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Solution

The fourth proportional to 580.70, 802.00 and 360.18 is: 497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 802.00 = 360.18 : x
  2. Step 2: Convert to fraction form
    580.70/802.00 = 360.18/x
  3. Step 3: Cross multiply
    580.70x = 802.00 × 360.18
  4. Step 4: Simplify right side
    580.70x = 288,864.81
  5. Step 5: Solve for x
    x = 288,864.81/580.70
  6. Step 6: Final answer
    x = 497.44

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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.