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Finding the Fourth Proportional to 489.59, 729.62 and 474.77

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Solution

The fourth proportional to 489.59, 729.62 and 474.77 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.59 : 729.62 = 474.77 : x
  2. Step 2: Convert to fraction form
    489.59/729.62 = 474.77/x
  3. Step 3: Cross multiply
    489.59x = 729.62 × 474.77
  4. Step 4: Simplify right side
    489.59x = 346,398.81
  5. Step 5: Solve for x
    x = 346,398.81/489.59
  6. Step 6: Final answer
    x = 707.52

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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.