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Finding the Fourth Proportional to 557.48, 768.66 and 508.16

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Solution

The fourth proportional to 557.48, 768.66 and 508.16 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 768.66 = 508.16 : x
  2. Step 2: Convert to fraction form
    557.48/768.66 = 508.16/x
  3. Step 3: Cross multiply
    557.48x = 768.66 × 508.16
  4. Step 4: Simplify right side
    557.48x = 390,602.27
  5. Step 5: Solve for x
    x = 390,602.27/557.48
  6. Step 6: Final answer
    x = 700.66

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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.