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Finding the Fourth Proportional to 545.86, 753.46 and 405.93

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Solution

The fourth proportional to 545.86, 753.46 and 405.93 is: 560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 753.46 = 405.93 : x
  2. Step 2: Convert to fraction form
    545.86/753.46 = 405.93/x
  3. Step 3: Cross multiply
    545.86x = 753.46 × 405.93
  4. Step 4: Simplify right side
    545.86x = 305,852.02
  5. Step 5: Solve for x
    x = 305,852.02/545.86
  6. Step 6: Final answer
    x = 560.31

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