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Finding the Fourth Proportional to 977.04, 1,465.52 and 293.04

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Solution

The fourth proportional to 977.04, 1,465.52 and 293.04 is: 439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,465.52 = 293.04 : x
  2. Step 2: Convert to fraction form
    977.04/1,465.52 = 293.04/x
  3. Step 3: Cross multiply
    977.04x = 1,465.52 × 293.04
  4. Step 4: Simplify right side
    977.04x = 429,455.98
  5. Step 5: Solve for x
    x = 429,455.98/977.04
  6. Step 6: Final answer
    x = 439.55

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