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Finding the Fourth Proportional to 587.33, 809.92 and 429.99

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Solution

The fourth proportional to 587.33, 809.92 and 429.99 is: 592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.33 : 809.92 = 429.99 : x
  2. Step 2: Convert to fraction form
    587.33/809.92 = 429.99/x
  3. Step 3: Cross multiply
    587.33x = 809.92 × 429.99
  4. Step 4: Simplify right side
    587.33x = 348,253.45
  5. Step 5: Solve for x
    x = 348,253.45/587.33
  6. Step 6: Final answer
    x = 592.94

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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.