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Finding the Fourth Proportional to 584.78, 804.30 and 511.16

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Solution

The fourth proportional to 584.78, 804.30 and 511.16 is: 703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.78 : 804.30 = 511.16 : x
  2. Step 2: Convert to fraction form
    584.78/804.30 = 511.16/x
  3. Step 3: Cross multiply
    584.78x = 804.30 × 511.16
  4. Step 4: Simplify right side
    584.78x = 411,125.99
  5. Step 5: Solve for x
    x = 411,125.99/584.78
  6. Step 6: Final answer
    x = 703.04

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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.