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Finding the Fourth Proportional to 477.02, 714.70 and 260.74

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Solution

The fourth proportional to 477.02, 714.70 and 260.74 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.02 : 714.70 = 260.74 : x
  2. Step 2: Convert to fraction form
    477.02/714.70 = 260.74/x
  3. Step 3: Cross multiply
    477.02x = 714.70 × 260.74
  4. Step 4: Simplify right side
    477.02x = 186,350.88
  5. Step 5: Solve for x
    x = 186,350.88/477.02
  6. Step 6: Final answer
    x = 390.66

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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.