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Finding the Fourth Proportional to 977.34, 1,465.64 and 319.06

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Solution

The fourth proportional to 977.34, 1,465.64 and 319.06 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,465.64 = 319.06 : x
  2. Step 2: Convert to fraction form
    977.34/1,465.64 = 319.06/x
  3. Step 3: Cross multiply
    977.34x = 1,465.64 × 319.06
  4. Step 4: Simplify right side
    977.34x = 467,621.84
  5. Step 5: Solve for x
    x = 467,621.84/977.34
  6. Step 6: Final answer
    x = 478.47

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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.