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Finding the Fourth Proportional to 570.05, 784.64 and 475.74

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Solution

The fourth proportional to 570.05, 784.64 and 475.74 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 784.64 = 475.74 : x
  2. Step 2: Convert to fraction form
    570.05/784.64 = 475.74/x
  3. Step 3: Cross multiply
    570.05x = 784.64 × 475.74
  4. Step 4: Simplify right side
    570.05x = 373,282.25
  5. Step 5: Solve for x
    x = 373,282.25/570.05
  6. Step 6: Final answer
    x = 654.82

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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.