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Finding the Fourth Proportional to 702.42, 969.33 and 436.74

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Solution

The fourth proportional to 702.42, 969.33 and 436.74 is: 602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 969.33 = 436.74 : x
  2. Step 2: Convert to fraction form
    702.42/969.33 = 436.74/x
  3. Step 3: Cross multiply
    702.42x = 969.33 × 436.74
  4. Step 4: Simplify right side
    702.42x = 423,345.18
  5. Step 5: Solve for x
    x = 423,345.18/702.42
  6. Step 6: Final answer
    x = 602.70

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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.