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Finding the Fourth Proportional to 430.98, 594.76 and 265.10

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Solution

The fourth proportional to 430.98, 594.76 and 265.10 is: 365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.98 : 594.76 = 265.10 : x
  2. Step 2: Convert to fraction form
    430.98/594.76 = 265.10/x
  3. Step 3: Cross multiply
    430.98x = 594.76 × 265.10
  4. Step 4: Simplify right side
    430.98x = 157,670.88
  5. Step 5: Solve for x
    x = 157,670.88/430.98
  6. Step 6: Final answer
    x = 365.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.