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Finding the Fourth Proportional to 582.26, 802.02 and 476.96

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Solution

The fourth proportional to 582.26, 802.02 and 476.96 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.26 : 802.02 = 476.96 : x
  2. Step 2: Convert to fraction form
    582.26/802.02 = 476.96/x
  3. Step 3: Cross multiply
    582.26x = 802.02 × 476.96
  4. Step 4: Simplify right side
    582.26x = 382,533.46
  5. Step 5: Solve for x
    x = 382,533.46/582.26
  6. Step 6: Final answer
    x = 656.98

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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.