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Finding the Fourth Proportional to 580.91, 802.94 and 510.44

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Solution

The fourth proportional to 580.91, 802.94 and 510.44 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 802.94 = 510.44 : x
  2. Step 2: Convert to fraction form
    580.91/802.94 = 510.44/x
  3. Step 3: Cross multiply
    580.91x = 802.94 × 510.44
  4. Step 4: Simplify right side
    580.91x = 409,852.15
  5. Step 5: Solve for x
    x = 409,852.15/580.91
  6. Step 6: Final answer
    x = 705.53

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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.