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Finding the Fourth Proportional to 582.64, 802.02 and 484.62

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Solution

The fourth proportional to 582.64, 802.02 and 484.62 is: 667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 802.02 = 484.62 : x
  2. Step 2: Convert to fraction form
    582.64/802.02 = 484.62/x
  3. Step 3: Cross multiply
    582.64x = 802.02 × 484.62
  4. Step 4: Simplify right side
    582.64x = 388,674.93
  5. Step 5: Solve for x
    x = 388,674.93/582.64
  6. Step 6: Final answer
    x = 667.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.