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Finding the Fourth Proportional to 581.83, 803.46 and 385.45

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Solution

The fourth proportional to 581.83, 803.46 and 385.45 is: 532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 803.46 = 385.45 : x
  2. Step 2: Convert to fraction form
    581.83/803.46 = 385.45/x
  3. Step 3: Cross multiply
    581.83x = 803.46 × 385.45
  4. Step 4: Simplify right side
    581.83x = 309,693.66
  5. Step 5: Solve for x
    x = 309,693.66/581.83
  6. Step 6: Final answer
    x = 532.28

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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.