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Finding the Fourth Proportional to 977.32, 1,465.93 and 352.61

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Solution

The fourth proportional to 977.32, 1,465.93 and 352.61 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,465.93 = 352.61 : x
  2. Step 2: Convert to fraction form
    977.32/1,465.93 = 352.61/x
  3. Step 3: Cross multiply
    977.32x = 1,465.93 × 352.61
  4. Step 4: Simplify right side
    977.32x = 516,901.58
  5. Step 5: Solve for x
    x = 516,901.58/977.32
  6. Step 6: Final answer
    x = 528.90

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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.