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Finding the Fourth Proportional to 697.61, 962.45 and 402.77

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Solution

The fourth proportional to 697.61, 962.45 and 402.77 is: 555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 962.45 = 402.77 : x
  2. Step 2: Convert to fraction form
    697.61/962.45 = 402.77/x
  3. Step 3: Cross multiply
    697.61x = 962.45 × 402.77
  4. Step 4: Simplify right side
    697.61x = 387,643.97
  5. Step 5: Solve for x
    x = 387,643.97/697.61
  6. Step 6: Final answer
    x = 555.67

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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.