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Finding the Fourth Proportional to 582.41, 802.41 and 535.91

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Solution

The fourth proportional to 582.41, 802.41 and 535.91 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.41 : 802.41 = 535.91 : x
  2. Step 2: Convert to fraction form
    582.41/802.41 = 535.91/x
  3. Step 3: Cross multiply
    582.41x = 802.41 × 535.91
  4. Step 4: Simplify right side
    582.41x = 430,015.53
  5. Step 5: Solve for x
    x = 430,015.53/582.41
  6. Step 6: Final answer
    x = 738.34

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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.