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Finding the Fourth Proportional to 477.60, 714.51 and 384.30

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Solution

The fourth proportional to 477.60, 714.51 and 384.30 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 714.51 = 384.30 : x
  2. Step 2: Convert to fraction form
    477.60/714.51 = 384.30/x
  3. Step 3: Cross multiply
    477.60x = 714.51 × 384.30
  4. Step 4: Simplify right side
    477.60x = 274,586.19
  5. Step 5: Solve for x
    x = 274,586.19/477.60
  6. Step 6: Final answer
    x = 574.93

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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.