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Finding the Fourth Proportional to 647.68, 893.86 and 368.01

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Solution

The fourth proportional to 647.68, 893.86 and 368.01 is: 507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 893.86 = 368.01 : x
  2. Step 2: Convert to fraction form
    647.68/893.86 = 368.01/x
  3. Step 3: Cross multiply
    647.68x = 893.86 × 368.01
  4. Step 4: Simplify right side
    647.68x = 328,949.42
  5. Step 5: Solve for x
    x = 328,949.42/647.68
  6. Step 6: Final answer
    x = 507.89

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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.