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Finding the Fourth Proportional to 575.19, 865.92 and 524.16

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Solution

The fourth proportional to 575.19, 865.92 and 524.16 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.19 : 865.92 = 524.16 : x
  2. Step 2: Convert to fraction form
    575.19/865.92 = 524.16/x
  3. Step 3: Cross multiply
    575.19x = 865.92 × 524.16
  4. Step 4: Simplify right side
    575.19x = 453,880.63
  5. Step 5: Solve for x
    x = 453,880.63/575.19
  6. Step 6: Final answer
    x = 789.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.