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Finding the Fourth Proportional to 584.02, 802.52 and 467.38

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Solution

The fourth proportional to 584.02, 802.52 and 467.38 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 802.52 = 467.38 : x
  2. Step 2: Convert to fraction form
    584.02/802.52 = 467.38/x
  3. Step 3: Cross multiply
    584.02x = 802.52 × 467.38
  4. Step 4: Simplify right side
    584.02x = 375,081.80
  5. Step 5: Solve for x
    x = 375,081.80/584.02
  6. Step 6: Final answer
    x = 642.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.