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Finding the Fourth Proportional to 652.95, 977.37 and 467.40

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Solution

The fourth proportional to 652.95, 977.37 and 467.40 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.95 : 977.37 = 467.40 : x
  2. Step 2: Convert to fraction form
    652.95/977.37 = 467.40/x
  3. Step 3: Cross multiply
    652.95x = 977.37 × 467.40
  4. Step 4: Simplify right side
    652.95x = 456,822.74
  5. Step 5: Solve for x
    x = 456,822.74/652.95
  6. Step 6: Final answer
    x = 699.63

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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.