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Finding the Fourth Proportional to 1,464.68, 2,196.95 and 368.98

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Solution

The fourth proportional to 1,464.68, 2,196.95 and 368.98 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.68 : 2,196.95 = 368.98 : x
  2. Step 2: Convert to fraction form
    1,464.68/2,196.95 = 368.98/x
  3. Step 3: Cross multiply
    1,464.68x = 2,196.95 × 368.98
  4. Step 4: Simplify right side
    1,464.68x = 810,630.49
  5. Step 5: Solve for x
    x = 810,630.49/1,464.68
  6. Step 6: Final answer
    x = 553.45

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Why These Related Problems?

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