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Finding the Fourth Proportional to 364.69, 545.73 and 313.93

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Solution

The fourth proportional to 364.69, 545.73 and 313.93 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.69 : 545.73 = 313.93 : x
  2. Step 2: Convert to fraction form
    364.69/545.73 = 313.93/x
  3. Step 3: Cross multiply
    364.69x = 545.73 × 313.93
  4. Step 4: Simplify right side
    364.69x = 171,321.02
  5. Step 5: Solve for x
    x = 171,321.02/364.69
  6. Step 6: Final answer
    x = 469.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.