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Finding the Fourth Proportional to 532.63, 736.05 and 434.35

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Solution

The fourth proportional to 532.63, 736.05 and 434.35 is: 600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.63 : 736.05 = 434.35 : x
  2. Step 2: Convert to fraction form
    532.63/736.05 = 434.35/x
  3. Step 3: Cross multiply
    532.63x = 736.05 × 434.35
  4. Step 4: Simplify right side
    532.63x = 319,703.32
  5. Step 5: Solve for x
    x = 319,703.32/532.63
  6. Step 6: Final answer
    x = 600.24

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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.