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Finding the Fourth Proportional to 589.86, 885.08 and 417.63

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Solution

The fourth proportional to 589.86, 885.08 and 417.63 is: 626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.86 : 885.08 = 417.63 : x
  2. Step 2: Convert to fraction form
    589.86/885.08 = 417.63/x
  3. Step 3: Cross multiply
    589.86x = 885.08 × 417.63
  4. Step 4: Simplify right side
    589.86x = 369,640.32
  5. Step 5: Solve for x
    x = 369,640.32/589.86
  6. Step 6: Final answer
    x = 626.66

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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.