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Finding the Fourth Proportional to 582.12, 803.01 and 442.00

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Solution

The fourth proportional to 582.12, 803.01 and 442.00 is: 609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.12 : 803.01 = 442.00 : x
  2. Step 2: Convert to fraction form
    582.12/803.01 = 442.00/x
  3. Step 3: Cross multiply
    582.12x = 803.01 × 442.00
  4. Step 4: Simplify right side
    582.12x = 354,933.53
  5. Step 5: Solve for x
    x = 354,933.53/582.12
  6. Step 6: Final answer
    x = 609.73

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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.