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Finding the Fourth Proportional to 570.05, 856.45 and 365.02

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Solution

The fourth proportional to 570.05, 856.45 and 365.02 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 856.45 = 365.02 : x
  2. Step 2: Convert to fraction form
    570.05/856.45 = 365.02/x
  3. Step 3: Cross multiply
    570.05x = 856.45 × 365.02
  4. Step 4: Simplify right side
    570.05x = 312,617.10
  5. Step 5: Solve for x
    x = 312,617.10/570.05
  6. Step 6: Final answer
    x = 548.40

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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.