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Finding the Fourth Proportional to 554.76, 761.76 and 470.88

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Solution

The fourth proportional to 554.76, 761.76 and 470.88 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 761.76 = 470.88 : x
  2. Step 2: Convert to fraction form
    554.76/761.76 = 470.88/x
  3. Step 3: Cross multiply
    554.76x = 761.76 × 470.88
  4. Step 4: Simplify right side
    554.76x = 358,697.55
  5. Step 5: Solve for x
    x = 358,697.55/554.76
  6. Step 6: Final answer
    x = 646.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.