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Finding the Fourth Proportional to 483.66, 665.82 and 434.52

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Solution

The fourth proportional to 483.66, 665.82 and 434.52 is: 598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.66 : 665.82 = 434.52 : x
  2. Step 2: Convert to fraction form
    483.66/665.82 = 434.52/x
  3. Step 3: Cross multiply
    483.66x = 665.82 × 434.52
  4. Step 4: Simplify right side
    483.66x = 289,312.11
  5. Step 5: Solve for x
    x = 289,312.11/483.66
  6. Step 6: Final answer
    x = 598.17

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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.