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Finding the Fourth Proportional to 489.67, 729.74 and 474.84

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Solution

The fourth proportional to 489.67, 729.74 and 474.84 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.67 : 729.74 = 474.84 : x
  2. Step 2: Convert to fraction form
    489.67/729.74 = 474.84/x
  3. Step 3: Cross multiply
    489.67x = 729.74 × 474.84
  4. Step 4: Simplify right side
    489.67x = 346,509.74
  5. Step 5: Solve for x
    x = 346,509.74/489.67
  6. Step 6: Final answer
    x = 707.64

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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.