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Finding the Fourth Proportional to 417.08, 624.91 and 295.11

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Solution

The fourth proportional to 417.08, 624.91 and 295.11 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 624.91 = 295.11 : x
  2. Step 2: Convert to fraction form
    417.08/624.91 = 295.11/x
  3. Step 3: Cross multiply
    417.08x = 624.91 × 295.11
  4. Step 4: Simplify right side
    417.08x = 184,417.19
  5. Step 5: Solve for x
    x = 184,417.19/417.08
  6. Step 6: Final answer
    x = 442.16

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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.