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Finding the Fourth Proportional to 430.88, 594.68 and 265.18

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Solution

The fourth proportional to 430.88, 594.68 and 265.18 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 594.68 = 265.18 : x
  2. Step 2: Convert to fraction form
    430.88/594.68 = 265.18/x
  3. Step 3: Cross multiply
    430.88x = 594.68 × 265.18
  4. Step 4: Simplify right side
    430.88x = 157,697.24
  5. Step 5: Solve for x
    x = 157,697.24/430.88
  6. Step 6: Final answer
    x = 365.99

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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.