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Finding the Fourth Proportional to 465.84, 702.23 and 459.36

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Solution

The fourth proportional to 465.84, 702.23 and 459.36 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 702.23 = 459.36 : x
  2. Step 2: Convert to fraction form
    465.84/702.23 = 459.36/x
  3. Step 3: Cross multiply
    465.84x = 702.23 × 459.36
  4. Step 4: Simplify right side
    465.84x = 322,574.08
  5. Step 5: Solve for x
    x = 322,574.08/465.84
  6. Step 6: Final answer
    x = 692.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.