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Finding the Fourth Proportional to 434.96, 650.91 and 417.95

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Solution

The fourth proportional to 434.96, 650.91 and 417.95 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.96 : 650.91 = 417.95 : x
  2. Step 2: Convert to fraction form
    434.96/650.91 = 417.95/x
  3. Step 3: Cross multiply
    434.96x = 650.91 × 417.95
  4. Step 4: Simplify right side
    434.96x = 272,047.83
  5. Step 5: Solve for x
    x = 272,047.83/434.96
  6. Step 6: Final answer
    x = 625.45

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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.