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Finding the Fourth Proportional to 473.18, 652.74 and 384.77

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Solution

The fourth proportional to 473.18, 652.74 and 384.77 is: 530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.18 : 652.74 = 384.77 : x
  2. Step 2: Convert to fraction form
    473.18/652.74 = 384.77/x
  3. Step 3: Cross multiply
    473.18x = 652.74 × 384.77
  4. Step 4: Simplify right side
    473.18x = 251,151.51
  5. Step 5: Solve for x
    x = 251,151.51/473.18
  6. Step 6: Final answer
    x = 530.78

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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.