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Finding the Fourth Proportional to 802.58, 1,204.00 and 316.04

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Solution

The fourth proportional to 802.58, 1,204.00 and 316.04 is: 474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.58 : 1,204.00 = 316.04 : x
  2. Step 2: Convert to fraction form
    802.58/1,204.00 = 316.04/x
  3. Step 3: Cross multiply
    802.58x = 1,204.00 × 316.04
  4. Step 4: Simplify right side
    802.58x = 380,505.35
  5. Step 5: Solve for x
    x = 380,505.35/802.58
  6. Step 6: Final answer
    x = 474.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.