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Finding the Fourth Proportional to 485.71, 725.03 and 417.67

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Solution

The fourth proportional to 485.71, 725.03 and 417.67 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.71 : 725.03 = 417.67 : x
  2. Step 2: Convert to fraction form
    485.71/725.03 = 417.67/x
  3. Step 3: Cross multiply
    485.71x = 725.03 × 417.67
  4. Step 4: Simplify right side
    485.71x = 302,823.28
  5. Step 5: Solve for x
    x = 302,823.28/485.71
  6. Step 6: Final answer
    x = 623.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.