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Finding the Fourth Proportional to 514.84, 710.76 and 384.16

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Solution

The fourth proportional to 514.84, 710.76 and 384.16 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.84 : 710.76 = 384.16 : x
  2. Step 2: Convert to fraction form
    514.84/710.76 = 384.16/x
  3. Step 3: Cross multiply
    514.84x = 710.76 × 384.16
  4. Step 4: Simplify right side
    514.84x = 273,045.56
  5. Step 5: Solve for x
    x = 273,045.56/514.84
  6. Step 6: Final answer
    x = 530.35

Related Problems

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1.5x scale

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.