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Finding the Fourth Proportional to 977.32, 1,465.92 and 352.68

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Solution

The fourth proportional to 977.32, 1,465.92 and 352.68 is: 529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,465.92 = 352.68 : x
  2. Step 2: Convert to fraction form
    977.32/1,465.92 = 352.68/x
  3. Step 3: Cross multiply
    977.32x = 1,465.92 × 352.68
  4. Step 4: Simplify right side
    977.32x = 517,000.67
  5. Step 5: Solve for x
    x = 517,000.67/977.32
  6. Step 6: Final answer
    x = 529.00

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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.