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Finding the Fourth Proportional to 356.86, 530.62 and 342.28

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Solution

The fourth proportional to 356.86, 530.62 and 342.28 is: 508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.86 : 530.62 = 342.28 : x
  2. Step 2: Convert to fraction form
    356.86/530.62 = 342.28/x
  3. Step 3: Cross multiply
    356.86x = 530.62 × 342.28
  4. Step 4: Simplify right side
    356.86x = 181,620.61
  5. Step 5: Solve for x
    x = 181,620.61/356.86
  6. Step 6: Final answer
    x = 508.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.