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Finding the Fourth Proportional to 545.94, 753.44 and 313.07

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Solution

The fourth proportional to 545.94, 753.44 and 313.07 is: 432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 753.44 = 313.07 : x
  2. Step 2: Convert to fraction form
    545.94/753.44 = 313.07/x
  3. Step 3: Cross multiply
    545.94x = 753.44 × 313.07
  4. Step 4: Simplify right side
    545.94x = 235,879.46
  5. Step 5: Solve for x
    x = 235,879.46/545.94
  6. Step 6: Final answer
    x = 432.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.