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Finding the Fourth Proportional to 530.94, 732.62 and 309.92

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Solution

The fourth proportional to 530.94, 732.62 and 309.92 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 732.62 = 309.92 : x
  2. Step 2: Convert to fraction form
    530.94/732.62 = 309.92/x
  3. Step 3: Cross multiply
    530.94x = 732.62 × 309.92
  4. Step 4: Simplify right side
    530.94x = 227,053.59
  5. Step 5: Solve for x
    x = 227,053.59/530.94
  6. Step 6: Final answer
    x = 427.64

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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.