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Finding the Fourth Proportional to 977.32, 1,465.60 and 319.02

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Solution

The fourth proportional to 977.32, 1,465.60 and 319.02 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,465.60 = 319.02 : x
  2. Step 2: Convert to fraction form
    977.32/1,465.60 = 319.02/x
  3. Step 3: Cross multiply
    977.32x = 1,465.60 × 319.02
  4. Step 4: Simplify right side
    977.32x = 467,555.71
  5. Step 5: Solve for x
    x = 467,555.71/977.32
  6. Step 6: Final answer
    x = 478.41

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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.