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Finding the Fourth Proportional to 530.82, 732.03 and 309.69

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Solution

The fourth proportional to 530.82, 732.03 and 309.69 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.03 = 309.69 : x
  2. Step 2: Convert to fraction form
    530.82/732.03 = 309.69/x
  3. Step 3: Cross multiply
    530.82x = 732.03 × 309.69
  4. Step 4: Simplify right side
    530.82x = 226,702.37
  5. Step 5: Solve for x
    x = 226,702.37/530.82
  6. Step 6: Final answer
    x = 427.08

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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.