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Finding the Fourth Proportional to 570.16, 786.93 and 334.14

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Solution

The fourth proportional to 570.16, 786.93 and 334.14 is: 461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 786.93 = 334.14 : x
  2. Step 2: Convert to fraction form
    570.16/786.93 = 334.14/x
  3. Step 3: Cross multiply
    570.16x = 786.93 × 334.14
  4. Step 4: Simplify right side
    570.16x = 262,944.79
  5. Step 5: Solve for x
    x = 262,944.79/570.16
  6. Step 6: Final answer
    x = 461.18

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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.