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Finding the Fourth Proportional to 582.08, 802.88 and 360.80

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Solution

The fourth proportional to 582.08, 802.88 and 360.80 is: 497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 802.88 = 360.80 : x
  2. Step 2: Convert to fraction form
    582.08/802.88 = 360.80/x
  3. Step 3: Cross multiply
    582.08x = 802.88 × 360.80
  4. Step 4: Simplify right side
    582.08x = 289,679.10
  5. Step 5: Solve for x
    x = 289,679.10/582.08
  6. Step 6: Final answer
    x = 497.66

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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.