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Finding the Fourth Proportional to 415.10, 623.06 and 347.06

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Solution

The fourth proportional to 415.10, 623.06 and 347.06 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.10 : 623.06 = 347.06 : x
  2. Step 2: Convert to fraction form
    415.10/623.06 = 347.06/x
  3. Step 3: Cross multiply
    415.10x = 623.06 × 347.06
  4. Step 4: Simplify right side
    415.10x = 216,239.20
  5. Step 5: Solve for x
    x = 216,239.20/415.10
  6. Step 6: Final answer
    x = 520.93

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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.