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Finding the Fourth Proportional to 472.39, 706.95 and 364.39

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Solution

The fourth proportional to 472.39, 706.95 and 364.39 is: 545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 706.95 = 364.39 : x
  2. Step 2: Convert to fraction form
    472.39/706.95 = 364.39/x
  3. Step 3: Cross multiply
    472.39x = 706.95 × 364.39
  4. Step 4: Simplify right side
    472.39x = 257,603.74
  5. Step 5: Solve for x
    x = 257,603.74/472.39
  6. Step 6: Final answer
    x = 545.32

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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.