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Finding the Fourth Proportional to 977.10, 1,465.77 and 328.02

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Solution

The fourth proportional to 977.10, 1,465.77 and 328.02 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.10 : 1,465.77 = 328.02 : x
  2. Step 2: Convert to fraction form
    977.10/1,465.77 = 328.02/x
  3. Step 3: Cross multiply
    977.10x = 1,465.77 × 328.02
  4. Step 4: Simplify right side
    977.10x = 480,801.88
  5. Step 5: Solve for x
    x = 480,801.88/977.10
  6. Step 6: Final answer
    x = 492.07

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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.