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Finding the Fourth Proportional to 477.01, 714.30 and 465.40

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Solution

The fourth proportional to 477.01, 714.30 and 465.40 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.01 : 714.30 = 465.40 : x
  2. Step 2: Convert to fraction form
    477.01/714.30 = 465.40/x
  3. Step 3: Cross multiply
    477.01x = 714.30 × 465.40
  4. Step 4: Simplify right side
    477.01x = 332,435.22
  5. Step 5: Solve for x
    x = 332,435.22/477.01
  6. Step 6: Final answer
    x = 696.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.