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Finding the Fourth Proportional to 384.17, 530.01 and 258.16

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Solution

The fourth proportional to 384.17, 530.01 and 258.16 is: 356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.17 : 530.01 = 258.16 : x
  2. Step 2: Convert to fraction form
    384.17/530.01 = 258.16/x
  3. Step 3: Cross multiply
    384.17x = 530.01 × 258.16
  4. Step 4: Simplify right side
    384.17x = 136,827.38
  5. Step 5: Solve for x
    x = 136,827.38/384.17
  6. Step 6: Final answer
    x = 356.16

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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.