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Finding the Fourth Proportional to 570.12, 786.87 and 360.42

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Solution

The fourth proportional to 570.12, 786.87 and 360.42 is: 497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 786.87 = 360.42 : x
  2. Step 2: Convert to fraction form
    570.12/786.87 = 360.42/x
  3. Step 3: Cross multiply
    570.12x = 786.87 × 360.42
  4. Step 4: Simplify right side
    570.12x = 283,603.69
  5. Step 5: Solve for x
    x = 283,603.69/570.12
  6. Step 6: Final answer
    x = 497.45

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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.