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Finding the Fourth Proportional to 977.47, 1,465.67 and 328.03

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Solution

The fourth proportional to 977.47, 1,465.67 and 328.03 is: 491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.47 : 1,465.67 = 328.03 : x
  2. Step 2: Convert to fraction form
    977.47/1,465.67 = 328.03/x
  3. Step 3: Cross multiply
    977.47x = 1,465.67 × 328.03
  4. Step 4: Simplify right side
    977.47x = 480,782.09
  5. Step 5: Solve for x
    x = 480,782.09/977.47
  6. Step 6: Final answer
    x = 491.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.