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Finding the Fourth Proportional to 501.54, 746.35 and 482.10

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Solution

The fourth proportional to 501.54, 746.35 and 482.10 is: 717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 746.35 = 482.10 : x
  2. Step 2: Convert to fraction form
    501.54/746.35 = 482.10/x
  3. Step 3: Cross multiply
    501.54x = 746.35 × 482.10
  4. Step 4: Simplify right side
    501.54x = 359,815.34
  5. Step 5: Solve for x
    x = 359,815.34/501.54
  6. Step 6: Final answer
    x = 717.42

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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.