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Finding the Fourth Proportional to 592.81, 815.73 and 509.58

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Solution

The fourth proportional to 592.81, 815.73 and 509.58 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.81 : 815.73 = 509.58 : x
  2. Step 2: Convert to fraction form
    592.81/815.73 = 509.58/x
  3. Step 3: Cross multiply
    592.81x = 815.73 × 509.58
  4. Step 4: Simplify right side
    592.81x = 415,679.69
  5. Step 5: Solve for x
    x = 415,679.69/592.81
  6. Step 6: Final answer
    x = 701.20

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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.