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Finding the Fourth Proportional to 530.04, 790.81 and 471.57

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Solution

The fourth proportional to 530.04, 790.81 and 471.57 is: 703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 790.81 = 471.57 : x
  2. Step 2: Convert to fraction form
    530.04/790.81 = 471.57/x
  3. Step 3: Cross multiply
    530.04x = 790.81 × 471.57
  4. Step 4: Simplify right side
    530.04x = 372,925.23
  5. Step 5: Solve for x
    x = 372,925.23/530.04
  6. Step 6: Final answer
    x = 703.57

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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.