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Finding the Fourth Proportional to 545.46, 816.88 and 313.64

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Solution

The fourth proportional to 545.46, 816.88 and 313.64 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 816.88 = 313.64 : x
  2. Step 2: Convert to fraction form
    545.46/816.88 = 313.64/x
  3. Step 3: Cross multiply
    545.46x = 816.88 × 313.64
  4. Step 4: Simplify right side
    545.46x = 256,206.24
  5. Step 5: Solve for x
    x = 256,206.24/545.46
  6. Step 6: Final answer
    x = 469.71

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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.