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Finding the Fourth Proportional to 419.16, 577.19 and 345.35

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Solution

The fourth proportional to 419.16, 577.19 and 345.35 is: 475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.16 : 577.19 = 345.35 : x
  2. Step 2: Convert to fraction form
    419.16/577.19 = 345.35/x
  3. Step 3: Cross multiply
    419.16x = 577.19 × 345.35
  4. Step 4: Simplify right side
    419.16x = 199,332.57
  5. Step 5: Solve for x
    x = 199,332.57/419.16
  6. Step 6: Final answer
    x = 475.55

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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.