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Finding the Fourth Proportional to 697.79, 962.84 and 417.96

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Solution

The fourth proportional to 697.79, 962.84 and 417.96 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.79 : 962.84 = 417.96 : x
  2. Step 2: Convert to fraction form
    697.79/962.84 = 417.96/x
  3. Step 3: Cross multiply
    697.79x = 962.84 × 417.96
  4. Step 4: Simplify right side
    697.79x = 402,428.61
  5. Step 5: Solve for x
    x = 402,428.61/697.79
  6. Step 6: Final answer
    x = 576.72

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1.5x scale

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.