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Finding the Fourth Proportional to 572.64, 858.66 and 390.24

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Solution

The fourth proportional to 572.64, 858.66 and 390.24 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 858.66 = 390.24 : x
  2. Step 2: Convert to fraction form
    572.64/858.66 = 390.24/x
  3. Step 3: Cross multiply
    572.64x = 858.66 × 390.24
  4. Step 4: Simplify right side
    572.64x = 335,083.48
  5. Step 5: Solve for x
    x = 335,083.48/572.64
  6. Step 6: Final answer
    x = 585.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.