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Finding the Fourth Proportional to 584.02, 803.42 and 512.82

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Solution

The fourth proportional to 584.02, 803.42 and 512.82 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.02 : 803.42 = 512.82 : x
  2. Step 2: Convert to fraction form
    584.02/803.42 = 512.82/x
  3. Step 3: Cross multiply
    584.02x = 803.42 × 512.82
  4. Step 4: Simplify right side
    584.02x = 412,009.84
  5. Step 5: Solve for x
    x = 412,009.84/584.02
  6. Step 6: Final answer
    x = 705.47

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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.