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Finding the Fourth Proportional to 678.15, 1,017.36 and 313.07

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Solution

The fourth proportional to 678.15, 1,017.36 and 313.07 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.15 : 1,017.36 = 313.07 : x
  2. Step 2: Convert to fraction form
    678.15/1,017.36 = 313.07/x
  3. Step 3: Cross multiply
    678.15x = 1,017.36 × 313.07
  4. Step 4: Simplify right side
    678.15x = 318,499.81
  5. Step 5: Solve for x
    x = 318,499.81/678.15
  6. Step 6: Final answer
    x = 469.66

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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.