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Finding the Fourth Proportional to 661.51, 914.07 and 474.67

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Solution

The fourth proportional to 661.51, 914.07 and 474.67 is: 655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.51 : 914.07 = 474.67 : x
  2. Step 2: Convert to fraction form
    661.51/914.07 = 474.67/x
  3. Step 3: Cross multiply
    661.51x = 914.07 × 474.67
  4. Step 4: Simplify right side
    661.51x = 433,881.91
  5. Step 5: Solve for x
    x = 433,881.91/661.51
  6. Step 6: Final answer
    x = 655.90

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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.