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Finding the Fourth Proportional to 678.57, 936.68 and 530.61

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Solution

The fourth proportional to 678.57, 936.68 and 530.61 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.57 : 936.68 = 530.61 : x
  2. Step 2: Convert to fraction form
    678.57/936.68 = 530.61/x
  3. Step 3: Cross multiply
    678.57x = 936.68 × 530.61
  4. Step 4: Simplify right side
    678.57x = 497,009.12
  5. Step 5: Solve for x
    x = 497,009.12/678.57
  6. Step 6: Final answer
    x = 732.44

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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.