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Finding the Fourth Proportional to 415.34, 621.54 and 305.40

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Solution

The fourth proportional to 415.34, 621.54 and 305.40 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 621.54 = 305.40 : x
  2. Step 2: Convert to fraction form
    415.34/621.54 = 305.40/x
  3. Step 3: Cross multiply
    415.34x = 621.54 × 305.40
  4. Step 4: Simplify right side
    415.34x = 189,818.32
  5. Step 5: Solve for x
    x = 189,818.32/415.34
  6. Step 6: Final answer
    x = 457.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.