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Finding the Fourth Proportional to 530.37, 732.09 and 365.13

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Solution

The fourth proportional to 530.37, 732.09 and 365.13 is: 504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.37 : 732.09 = 365.13 : x
  2. Step 2: Convert to fraction form
    530.37/732.09 = 365.13/x
  3. Step 3: Cross multiply
    530.37x = 732.09 × 365.13
  4. Step 4: Simplify right side
    530.37x = 267,308.02
  5. Step 5: Solve for x
    x = 267,308.02/530.37
  6. Step 6: Final answer
    x = 504.00

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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.