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Finding the Fourth Proportional to 545.66, 753.35 and 405.62

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Solution

The fourth proportional to 545.66, 753.35 and 405.62 is: 560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 753.35 = 405.62 : x
  2. Step 2: Convert to fraction form
    545.66/753.35 = 405.62/x
  3. Step 3: Cross multiply
    545.66x = 753.35 × 405.62
  4. Step 4: Simplify right side
    545.66x = 305,573.14
  5. Step 5: Solve for x
    x = 305,573.14/545.66
  6. Step 6: Final answer
    x = 560.00

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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.