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Finding the Fourth Proportional to 501.84, 749.48 and 489.51

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Solution

The fourth proportional to 501.84, 749.48 and 489.51 is: 731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 749.48 = 489.51 : x
  2. Step 2: Convert to fraction form
    501.84/749.48 = 489.51/x
  3. Step 3: Cross multiply
    501.84x = 749.48 × 489.51
  4. Step 4: Simplify right side
    501.84x = 366,875.51
  5. Step 5: Solve for x
    x = 366,875.51/501.84
  6. Step 6: Final answer
    x = 731.06

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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.