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Finding the Fourth Proportional to 430.21, 647.74 and 379.18

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Solution

The fourth proportional to 430.21, 647.74 and 379.18 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.21 : 647.74 = 379.18 : x
  2. Step 2: Convert to fraction form
    430.21/647.74 = 379.18/x
  3. Step 3: Cross multiply
    430.21x = 647.74 × 379.18
  4. Step 4: Simplify right side
    430.21x = 245,606.81
  5. Step 5: Solve for x
    x = 245,606.81/430.21
  6. Step 6: Final answer
    x = 570.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.