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Finding the Fourth Proportional to 690.61, 952.38 and 532.99

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Solution

The fourth proportional to 690.61, 952.38 and 532.99 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.61 : 952.38 = 532.99 : x
  2. Step 2: Convert to fraction form
    690.61/952.38 = 532.99/x
  3. Step 3: Cross multiply
    690.61x = 952.38 × 532.99
  4. Step 4: Simplify right side
    690.61x = 507,605.59
  5. Step 5: Solve for x
    x = 507,605.59/690.61
  6. Step 6: Final answer
    x = 735.01

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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.