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Finding the Fourth Proportional to 582.29, 802.77 and 416.22

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Solution

The fourth proportional to 582.29, 802.77 and 416.22 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 802.77 = 416.22 : x
  2. Step 2: Convert to fraction form
    582.29/802.77 = 416.22/x
  3. Step 3: Cross multiply
    582.29x = 802.77 × 416.22
  4. Step 4: Simplify right side
    582.29x = 334,128.93
  5. Step 5: Solve for x
    x = 334,128.93/582.29
  6. Step 6: Final answer
    x = 573.82

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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.