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Finding the Fourth Proportional to 436.85, 597.50 and 430.37

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Solution

The fourth proportional to 436.85, 597.50 and 430.37 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.85 : 597.50 = 430.37 : x
  2. Step 2: Convert to fraction form
    436.85/597.50 = 430.37/x
  3. Step 3: Cross multiply
    436.85x = 597.50 × 430.37
  4. Step 4: Simplify right side
    436.85x = 257,146.08
  5. Step 5: Solve for x
    x = 257,146.08/436.85
  6. Step 6: Final answer
    x = 588.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.