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Finding the Fourth Proportional to 570.13, 786.57 and 360.23

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Solution

The fourth proportional to 570.13, 786.57 and 360.23 is: 497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 786.57 = 360.23 : x
  2. Step 2: Convert to fraction form
    570.13/786.57 = 360.23/x
  3. Step 3: Cross multiply
    570.13x = 786.57 × 360.23
  4. Step 4: Simplify right side
    570.13x = 283,351.10
  5. Step 5: Solve for x
    x = 283,351.10/570.13
  6. Step 6: Final answer
    x = 497.00

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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.