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Finding the Fourth Proportional to 678.23, 1,017.35 and 313.32

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Solution

The fourth proportional to 678.23, 1,017.35 and 313.32 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 1,017.35 = 313.32 : x
  2. Step 2: Convert to fraction form
    678.23/1,017.35 = 313.32/x
  3. Step 3: Cross multiply
    678.23x = 1,017.35 × 313.32
  4. Step 4: Simplify right side
    678.23x = 318,754.54
  5. Step 5: Solve for x
    x = 318,754.54/678.23
  6. Step 6: Final answer
    x = 469.98

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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.