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Finding the Fourth Proportional to 463.02, 695.65 and 298.57

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Solution

The fourth proportional to 463.02, 695.65 and 298.57 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 695.65 = 298.57 : x
  2. Step 2: Convert to fraction form
    463.02/695.65 = 298.57/x
  3. Step 3: Cross multiply
    463.02x = 695.65 × 298.57
  4. Step 4: Simplify right side
    463.02x = 207,699.23
  5. Step 5: Solve for x
    x = 207,699.23/463.02
  6. Step 6: Final answer
    x = 448.58

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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.